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Finding the Fourth Proportional to 16,167.57, 24,251.23 and 4,159.69

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Solution

The fourth proportional to 16,167.57, 24,251.23 and 4,159.69 is: 6,239.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,167.57 : 24,251.23 = 4,159.69 : x
  2. Step 2: Convert to fraction form
    16,167.57/24,251.23 = 4,159.69/x
  3. Step 3: Cross multiply
    16,167.57x = 24,251.23 × 4,159.69
  4. Step 4: Simplify right side
    16,167.57x = 100,877,543.49
  5. Step 5: Solve for x
    x = 100,877,543.49/16,167.57
  6. Step 6: Final answer
    x = 6,239.50

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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.