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Finding the Fourth Proportional to 21,423.52, 32,142.30 and 13,516.90

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Solution

The fourth proportional to 21,423.52, 32,142.30 and 13,516.90 is: 20,279.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,423.52 : 32,142.30 = 13,516.90 : x
  2. Step 2: Convert to fraction form
    21,423.52/32,142.30 = 13,516.90/x
  3. Step 3: Cross multiply
    21,423.52x = 32,142.30 × 13,516.90
  4. Step 4: Simplify right side
    21,423.52x = 434,464,254.87
  5. Step 5: Solve for x
    x = 434,464,254.87/21,423.52
  6. Step 6: Final answer
    x = 20,279.78

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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.