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Finding the Fourth Proportional to 21,423.79, 32,134.78 and 5,841.42

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Solution

The fourth proportional to 21,423.79, 32,134.78 and 5,841.42 is: 8,761.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,423.79 : 32,134.78 = 5,841.42 : x
  2. Step 2: Convert to fraction form
    21,423.79/32,134.78 = 5,841.42/x
  3. Step 3: Cross multiply
    21,423.79x = 32,134.78 × 5,841.42
  4. Step 4: Simplify right side
    21,423.79x = 187,712,600.53
  5. Step 5: Solve for x
    x = 187,712,600.53/21,423.79
  6. Step 6: Final answer
    x = 8,761.88

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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.