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Finding the Fourth Proportional to 13,132.43, 18,122.84 and 7,164.14

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Solution

The fourth proportional to 13,132.43, 18,122.84 and 7,164.14 is: 9,886.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,132.43 : 18,122.84 = 7,164.14 : x
  2. Step 2: Convert to fraction form
    13,132.43/18,122.84 = 7,164.14/x
  3. Step 3: Cross multiply
    13,132.43x = 18,122.84 × 7,164.14
  4. Step 4: Simplify right side
    13,132.43x = 129,834,436.52
  5. Step 5: Solve for x
    x = 129,834,436.52/13,132.43
  6. Step 6: Final answer
    x = 9,886.55

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