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Finding the Fourth Proportional to 13,129.97, 18,119.05 and 7,161.68

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Solution

The fourth proportional to 13,129.97, 18,119.05 and 7,161.68 is: 9,882.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,129.97 : 18,119.05 = 7,161.68 : x
  2. Step 2: Convert to fraction form
    13,129.97/18,119.05 = 7,161.68/x
  3. Step 3: Cross multiply
    13,129.97x = 18,119.05 × 7,161.68
  4. Step 4: Simplify right side
    13,129.97x = 129,762,899.37
  5. Step 5: Solve for x
    x = 129,762,899.37/13,129.97
  6. Step 6: Final answer
    x = 9,882.96

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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.