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Finding the Fourth Proportional to 17,497.62, 24,146.28 and 9,540

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Solution

The fourth proportional to 17,497.62, 24,146.28 and 9,540 is: 13,164.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,497.62 : 24,146.28 = 9,540 : x
  2. Step 2: Convert to fraction form
    17,497.62/24,146.28 = 9,540/x
  3. Step 3: Cross multiply
    17,497.62x = 24,146.28 × 9,540
  4. Step 4: Simplify right side
    17,497.62x = 230,355,511.20
  5. Step 5: Solve for x
    x = 230,355,511.20/17,497.62
  6. Step 6: Final answer
    x = 13,164.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.