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Finding the Fourth Proportional to 10,571,857.15, 14,768,713.55 and 10,571,857.15

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Solution

The fourth proportional to 10,571,857.15, 14,768,713.55 and 10,571,857.15 is: 14,768,713.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,571,857.15 : 14,768,713.55 = 10,571,857.15 : x
  2. Step 2: Convert to fraction form
    10,571,857.15/14,768,713.55 = 10,571,857.15/x
  3. Step 3: Cross multiply
    10,571,857.15x = 14,768,713.55 × 10,571,857.15
  4. Step 4: Simplify right side
    10,571,857.15x = 156,132,729,939,869.41
  5. Step 5: Solve for x
    x = 156,132,729,939,869.41/10,571,857.15
  6. Step 6: Final answer
    x = 14,768,713.55

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.