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Finding the Fourth Proportional to 17,229.62, 25,841.16 and 4,746.53

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Solution

The fourth proportional to 17,229.62, 25,841.16 and 4,746.53 is: 7,118.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,229.62 : 25,841.16 = 4,746.53 : x
  2. Step 2: Convert to fraction form
    17,229.62/25,841.16 = 4,746.53/x
  3. Step 3: Cross multiply
    17,229.62x = 25,841.16 × 4,746.53
  4. Step 4: Simplify right side
    17,229.62x = 122,655,711.97
  5. Step 5: Solve for x
    x = 122,655,711.97/17,229.62
  6. Step 6: Final answer
    x = 7,118.89

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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.