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Finding the Fourth Proportional to 13,432.77, 20,153.19 and 5,423.42

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Solution

The fourth proportional to 13,432.77, 20,153.19 and 5,423.42 is: 8,136.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,432.77 : 20,153.19 = 5,423.42 : x
  2. Step 2: Convert to fraction form
    13,432.77/20,153.19 = 5,423.42/x
  3. Step 3: Cross multiply
    13,432.77x = 20,153.19 × 5,423.42
  4. Step 4: Simplify right side
    13,432.77x = 109,299,213.71
  5. Step 5: Solve for x
    x = 109,299,213.71/13,432.77
  6. Step 6: Final answer
    x = 8,136.76

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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.