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Finding the Fourth Proportional to 24,335.57, 36,489.69 and 7,699.79

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Solution

The fourth proportional to 24,335.57, 36,489.69 and 7,699.79 is: 11,545.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,335.57 : 36,489.69 = 7,699.79 : x
  2. Step 2: Convert to fraction form
    24,335.57/36,489.69 = 7,699.79/x
  3. Step 3: Cross multiply
    24,335.57x = 36,489.69 × 7,699.79
  4. Step 4: Simplify right side
    24,335.57x = 280,963,041.39
  5. Step 5: Solve for x
    x = 280,963,041.39/24,335.57
  6. Step 6: Final answer
    x = 11,545.36

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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.