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Finding the Fourth Proportional to 12,532.14, 17,254.89 and 9,538.38

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Solution

The fourth proportional to 12,532.14, 17,254.89 and 9,538.38 is: 13,132.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,532.14 : 17,254.89 = 9,538.38 : x
  2. Step 2: Convert to fraction form
    12,532.14/17,254.89 = 9,538.38/x
  3. Step 3: Cross multiply
    12,532.14x = 17,254.89 × 9,538.38
  4. Step 4: Simplify right side
    12,532.14x = 164,583,697.68
  5. Step 5: Solve for x
    x = 164,583,697.68/12,532.14
  6. Step 6: Final answer
    x = 13,132.93

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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.