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Finding the Fourth Proportional to 24,142.46, 33,243.62 and 21,414.78

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Solution

The fourth proportional to 24,142.46, 33,243.62 and 21,414.78 is: 29,487.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,142.46 : 33,243.62 = 21,414.78 : x
  2. Step 2: Convert to fraction form
    24,142.46/33,243.62 = 21,414.78/x
  3. Step 3: Cross multiply
    24,142.46x = 33,243.62 × 21,414.78
  4. Step 4: Simplify right side
    24,142.46x = 711,904,701.63
  5. Step 5: Solve for x
    x = 711,904,701.63/24,142.46
  6. Step 6: Final answer
    x = 29,487.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.