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Finding the Fourth Proportional to 27,438.74, 37,866.24 and 15,502.58

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Solution

The fourth proportional to 27,438.74, 37,866.24 and 15,502.58 is: 21,394.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,438.74 : 37,866.24 = 15,502.58 : x
  2. Step 2: Convert to fraction form
    27,438.74/37,866.24 = 15,502.58/x
  3. Step 3: Cross multiply
    27,438.74x = 37,866.24 × 15,502.58
  4. Step 4: Simplify right side
    27,438.74x = 587,024,414.90
  5. Step 5: Solve for x
    x = 587,024,414.90/27,438.74
  6. Step 6: Final answer
    x = 21,394.00

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