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Finding the Fourth Proportional to 27,565.92, 38,042.16 and 15,629.16

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Solution

The fourth proportional to 27,565.92, 38,042.16 and 15,629.16 is: 21,568.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,565.92 : 38,042.16 = 15,629.16 : x
  2. Step 2: Convert to fraction form
    27,565.92/38,042.16 = 15,629.16/x
  3. Step 3: Cross multiply
    27,565.92x = 38,042.16 × 15,629.16
  4. Step 4: Simplify right side
    27,565.92x = 594,567,005.39
  5. Step 5: Solve for x
    x = 594,567,005.39/27,565.92
  6. Step 6: Final answer
    x = 21,568.92

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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.