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Finding the Fourth Proportional to 24,872.10, 37,313.55 and 8,229.30

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Solution

The fourth proportional to 24,872.10, 37,313.55 and 8,229.30 is: 12,345.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,872.10 : 37,313.55 = 8,229.30 : x
  2. Step 2: Convert to fraction form
    24,872.10/37,313.55 = 8,229.30/x
  3. Step 3: Cross multiply
    24,872.10x = 37,313.55 × 8,229.30
  4. Step 4: Simplify right side
    24,872.10x = 307,064,397.02
  5. Step 5: Solve for x
    x = 307,064,397.02/24,872.10
  6. Step 6: Final answer
    x = 12,345.74

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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.