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Finding the Fourth Proportional to 13,034.92, 17,987.96 and 7,369.57

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Solution

The fourth proportional to 13,034.92, 17,987.96 and 7,369.57 is: 10,169.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,034.92 : 17,987.96 = 7,369.57 : x
  2. Step 2: Convert to fraction form
    13,034.92/17,987.96 = 7,369.57/x
  3. Step 3: Cross multiply
    13,034.92x = 17,987.96 × 7,369.57
  4. Step 4: Simplify right side
    13,034.92x = 132,563,493.53
  5. Step 5: Solve for x
    x = 132,563,493.53/13,034.92
  6. Step 6: Final answer
    x = 10,169.87

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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.