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Finding the Fourth Proportional to 12,532.38, 17,293.03 and 7,494.76

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Solution

The fourth proportional to 12,532.38, 17,293.03 and 7,494.76 is: 10,341.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,532.38 : 17,293.03 = 7,494.76 : x
  2. Step 2: Convert to fraction form
    12,532.38/17,293.03 = 7,494.76/x
  3. Step 3: Cross multiply
    12,532.38x = 17,293.03 × 7,494.76
  4. Step 4: Simplify right side
    12,532.38x = 129,607,023.06
  5. Step 5: Solve for x
    x = 129,607,023.06/12,532.38
  6. Step 6: Final answer
    x = 10,341.78

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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.