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Finding the Fourth Proportional to 16,786.90, 25,178.88 and 7,900.12

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Solution

The fourth proportional to 16,786.90, 25,178.88 and 7,900.12 is: 11,849.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,786.90 : 25,178.88 = 7,900.12 : x
  2. Step 2: Convert to fraction form
    16,786.90/25,178.88 = 7,900.12/x
  3. Step 3: Cross multiply
    16,786.90x = 25,178.88 × 7,900.12
  4. Step 4: Simplify right side
    16,786.90x = 198,916,173.47
  5. Step 5: Solve for x
    x = 198,916,173.47/16,786.90
  6. Step 6: Final answer
    x = 11,849.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.