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Finding the Fourth Proportional to 24,387.72, 36,596.88 and 9,596.24

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Solution

The fourth proportional to 24,387.72, 36,596.88 and 9,596.24 is: 14,400.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,387.72 : 36,596.88 = 9,596.24 : x
  2. Step 2: Convert to fraction form
    24,387.72/36,596.88 = 9,596.24/x
  3. Step 3: Cross multiply
    24,387.72x = 36,596.88 × 9,596.24
  4. Step 4: Simplify right side
    24,387.72x = 351,192,443.73
  5. Step 5: Solve for x
    x = 351,192,443.73/24,387.72
  6. Step 6: Final answer
    x = 14,400.38

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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.