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Finding the Fourth Proportional to 24,167.92, 36,241.62 and 9,374.08

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Solution

The fourth proportional to 24,167.92, 36,241.62 and 9,374.08 is: 14,057.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,167.92 : 36,241.62 = 9,374.08 : x
  2. Step 2: Convert to fraction form
    24,167.92/36,241.62 = 9,374.08/x
  3. Step 3: Cross multiply
    24,167.92x = 36,241.62 × 9,374.08
  4. Step 4: Simplify right side
    24,167.92x = 339,731,845.21
  5. Step 5: Solve for x
    x = 339,731,845.21/24,167.92
  6. Step 6: Final answer
    x = 14,057.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.