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Finding the Fourth Proportional to 27,238.32, 40,876.92 and 9,708.30

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Solution

The fourth proportional to 27,238.32, 40,876.92 and 9,708.30 is: 14,569.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,238.32 : 40,876.92 = 9,708.30 : x
  2. Step 2: Convert to fraction form
    27,238.32/40,876.92 = 9,708.30/x
  3. Step 3: Cross multiply
    27,238.32x = 40,876.92 × 9,708.30
  4. Step 4: Simplify right side
    27,238.32x = 396,845,402.44
  5. Step 5: Solve for x
    x = 396,845,402.44/27,238.32
  6. Step 6: Final answer
    x = 14,569.38

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