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Finding the Fourth Proportional to 24,382.83, 36,575.51 and 7,744.16

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Solution

The fourth proportional to 24,382.83, 36,575.51 and 7,744.16 is: 11,616.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,382.83 : 36,575.51 = 7,744.16 : x
  2. Step 2: Convert to fraction form
    24,382.83/36,575.51 = 7,744.16/x
  3. Step 3: Cross multiply
    24,382.83x = 36,575.51 × 7,744.16
  4. Step 4: Simplify right side
    24,382.83x = 283,246,683.28
  5. Step 5: Solve for x
    x = 283,246,683.28/24,382.83
  6. Step 6: Final answer
    x = 11,616.65

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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.