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Finding the Fourth Proportional to 16,123.10, 24,158.73 and 13,531.10

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Solution

The fourth proportional to 16,123.10, 24,158.73 and 13,531.10 is: 20,274.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,123.10 : 24,158.73 = 13,531.10 : x
  2. Step 2: Convert to fraction form
    16,123.10/24,158.73 = 13,531.10/x
  3. Step 3: Cross multiply
    16,123.10x = 24,158.73 × 13,531.10
  4. Step 4: Simplify right side
    16,123.10x = 326,894,191.50
  5. Step 5: Solve for x
    x = 326,894,191.50/16,123.10
  6. Step 6: Final answer
    x = 20,274.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.