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Finding the Fourth Proportional to 24,008.88, 36,013.32 and 6,478.71

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Solution

The fourth proportional to 24,008.88, 36,013.32 and 6,478.71 is: 9,718.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,008.88 : 36,013.32 = 6,478.71 : x
  2. Step 2: Convert to fraction form
    24,008.88/36,013.32 = 6,478.71/x
  3. Step 3: Cross multiply
    24,008.88x = 36,013.32 × 6,478.71
  4. Step 4: Simplify right side
    24,008.88x = 233,319,856.42
  5. Step 5: Solve for x
    x = 233,319,856.42/24,008.88
  6. Step 6: Final answer
    x = 9,718.07

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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.