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Finding the Fourth Proportional to 13,132.55, 18,123.18 and 7,164.38

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Solution

The fourth proportional to 13,132.55, 18,123.18 and 7,164.38 is: 9,886.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,132.55 : 18,123.18 = 7,164.38 : x
  2. Step 2: Convert to fraction form
    13,132.55/18,123.18 = 7,164.38/x
  3. Step 3: Cross multiply
    13,132.55x = 18,123.18 × 7,164.38
  4. Step 4: Simplify right side
    13,132.55x = 129,841,348.33
  5. Step 5: Solve for x
    x = 129,841,348.33/13,132.55
  6. Step 6: Final answer
    x = 9,886.99

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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.