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Finding the Fourth Proportional to 24,531.69, 36,783.68 and 8,513.71

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Solution

The fourth proportional to 24,531.69, 36,783.68 and 8,513.71 is: 12,765.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,531.69 : 36,783.68 = 8,513.71 : x
  2. Step 2: Convert to fraction form
    24,531.69/36,783.68 = 8,513.71/x
  3. Step 3: Cross multiply
    24,531.69x = 36,783.68 × 8,513.71
  4. Step 4: Simplify right side
    24,531.69x = 313,165,584.25
  5. Step 5: Solve for x
    x = 313,165,584.25/24,531.69
  6. Step 6: Final answer
    x = 12,765.76

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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.