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Finding the Fourth Proportional to 24,909.30, 37,374.03 and 10,114.38

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Solution

The fourth proportional to 24,909.30, 37,374.03 and 10,114.38 is: 15,175.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,909.30 : 37,374.03 = 10,114.38 : x
  2. Step 2: Convert to fraction form
    24,909.30/37,374.03 = 10,114.38/x
  3. Step 3: Cross multiply
    24,909.30x = 37,374.03 × 10,114.38
  4. Step 4: Simplify right side
    24,909.30x = 378,015,141.55
  5. Step 5: Solve for x
    x = 378,015,141.55/24,909.30
  6. Step 6: Final answer
    x = 15,175.66

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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.