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Finding the Fourth Proportional to 13,129.28, 18,118.14 and 7,161

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Solution

The fourth proportional to 13,129.28, 18,118.14 and 7,161 is: 9,882.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,129.28 : 18,118.14 = 7,161 : x
  2. Step 2: Convert to fraction form
    13,129.28/18,118.14 = 7,161/x
  3. Step 3: Cross multiply
    13,129.28x = 18,118.14 × 7,161
  4. Step 4: Simplify right side
    13,129.28x = 129,744,000.54
  5. Step 5: Solve for x
    x = 129,744,000.54/13,129.28
  6. Step 6: Final answer
    x = 9,882.03

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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.