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Finding the Fourth Proportional to 24,341.31, 36,490.10 and 8,748

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Solution

The fourth proportional to 24,341.31, 36,490.10 and 8,748 is: 13,114.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,341.31 : 36,490.10 = 8,748 : x
  2. Step 2: Convert to fraction form
    24,341.31/36,490.10 = 8,748/x
  3. Step 3: Cross multiply
    24,341.31x = 36,490.10 × 8,748
  4. Step 4: Simplify right side
    24,341.31x = 319,215,351.06
  5. Step 5: Solve for x
    x = 319,215,351.06/24,341.31
  6. Step 6: Final answer
    x = 13,114.14

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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.