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Finding the Fourth Proportional to 24,174.60, 36,261.84 and 13,639.83

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Solution

The fourth proportional to 24,174.60, 36,261.84 and 13,639.83 is: 20,459.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,174.60 : 36,261.84 = 13,639.83 : x
  2. Step 2: Convert to fraction form
    24,174.60/36,261.84 = 13,639.83/x
  3. Step 3: Cross multiply
    24,174.60x = 36,261.84 × 13,639.83
  4. Step 4: Simplify right side
    24,174.60x = 494,605,333.09
  5. Step 5: Solve for x
    x = 494,605,333.09/24,174.60
  6. Step 6: Final answer
    x = 20,459.71

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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.