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Finding the Fourth Proportional to 24,381.12, 36,571.68 and 8,597.88

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Solution

The fourth proportional to 24,381.12, 36,571.68 and 8,597.88 is: 12,896.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,381.12 : 36,571.68 = 8,597.88 : x
  2. Step 2: Convert to fraction form
    24,381.12/36,571.68 = 8,597.88/x
  3. Step 3: Cross multiply
    24,381.12x = 36,571.68 × 8,597.88
  4. Step 4: Simplify right side
    24,381.12x = 314,438,916.04
  5. Step 5: Solve for x
    x = 314,438,916.04/24,381.12
  6. Step 6: Final answer
    x = 12,896.82

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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.