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Finding the Fourth Proportional to 15,785.37, 21,786.63 and 9,412.38

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Solution

The fourth proportional to 15,785.37, 21,786.63 and 9,412.38 is: 12,990.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,785.37 : 21,786.63 = 9,412.38 : x
  2. Step 2: Convert to fraction form
    15,785.37/21,786.63 = 9,412.38/x
  3. Step 3: Cross multiply
    15,785.37x = 21,786.63 × 9,412.38
  4. Step 4: Simplify right side
    15,785.37x = 205,064,040.48
  5. Step 5: Solve for x
    x = 205,064,040.48/15,785.37
  6. Step 6: Final answer
    x = 12,990.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.