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Finding the Fourth Proportional to 16,145.40, 24,222 and 5,613.90

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Solution

The fourth proportional to 16,145.40, 24,222 and 5,613.90 is: 8,422.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,145.40 : 24,222 = 5,613.90 : x
  2. Step 2: Convert to fraction form
    16,145.40/24,222 = 5,613.90/x
  3. Step 3: Cross multiply
    16,145.40x = 24,222 × 5,613.90
  4. Step 4: Simplify right side
    16,145.40x = 135,979,885.80
  5. Step 5: Solve for x
    x = 135,979,885.80/16,145.40
  6. Step 6: Final answer
    x = 8,422.21

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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.