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Finding the Fourth Proportional to 24,174.92, 36,261.81 and 14,242.66

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Solution

The fourth proportional to 24,174.92, 36,261.81 and 14,242.66 is: 21,363.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,174.92 : 36,261.81 = 14,242.66 : x
  2. Step 2: Convert to fraction form
    24,174.92/36,261.81 = 14,242.66/x
  3. Step 3: Cross multiply
    24,174.92x = 36,261.81 × 14,242.66
  4. Step 4: Simplify right side
    24,174.92x = 516,464,540.16
  5. Step 5: Solve for x
    x = 516,464,540.16/24,174.92
  6. Step 6: Final answer
    x = 21,363.65

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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.