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Finding the Fourth Proportional to 24,457.16, 36,691.34 and 8,874.78

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Solution

The fourth proportional to 24,457.16, 36,691.34 and 8,874.78 is: 13,314.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,457.16 : 36,691.34 = 8,874.78 : x
  2. Step 2: Convert to fraction form
    24,457.16/36,691.34 = 8,874.78/x
  3. Step 3: Cross multiply
    24,457.16x = 36,691.34 × 8,874.78
  4. Step 4: Simplify right side
    24,457.16x = 325,627,526.03
  5. Step 5: Solve for x
    x = 325,627,526.03/24,457.16
  6. Step 6: Final answer
    x = 13,314.20

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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.