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Finding the Fourth Proportional to 24,547.92, 36,817.02 and 20,414.52

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Solution

The fourth proportional to 24,547.92, 36,817.02 and 20,414.52 is: 30,617.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,547.92 : 36,817.02 = 20,414.52 : x
  2. Step 2: Convert to fraction form
    24,547.92/36,817.02 = 20,414.52/x
  3. Step 3: Cross multiply
    24,547.92x = 36,817.02 × 20,414.52
  4. Step 4: Simplify right side
    24,547.92x = 751,601,791.13
  5. Step 5: Solve for x
    x = 751,601,791.13/24,547.92
  6. Step 6: Final answer
    x = 30,617.74

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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.