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Finding the Fourth Proportional to 16,881.88, 25,319.90 and 4,567

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Solution

The fourth proportional to 16,881.88, 25,319.90 and 4,567 is: 6,849.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,881.88 : 25,319.90 = 4,567 : x
  2. Step 2: Convert to fraction form
    16,881.88/25,319.90 = 4,567/x
  3. Step 3: Cross multiply
    16,881.88x = 25,319.90 × 4,567
  4. Step 4: Simplify right side
    16,881.88x = 115,635,983.30
  5. Step 5: Solve for x
    x = 115,635,983.30/16,881.88
  6. Step 6: Final answer
    x = 6,849.71

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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.