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Finding the Fourth Proportional to 13,117.49, 18,102.14 and 7,149.04

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Solution

The fourth proportional to 13,117.49, 18,102.14 and 7,149.04 is: 9,865.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,117.49 : 18,102.14 = 7,149.04 : x
  2. Step 2: Convert to fraction form
    13,117.49/18,102.14 = 7,149.04/x
  3. Step 3: Cross multiply
    13,117.49x = 18,102.14 × 7,149.04
  4. Step 4: Simplify right side
    13,117.49x = 129,412,922.95
  5. Step 5: Solve for x
    x = 129,412,922.95/13,117.49
  6. Step 6: Final answer
    x = 9,865.68

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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.