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Finding the Fourth Proportional to 13,117.65, 18,102.44 and 7,149.30

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Solution

The fourth proportional to 13,117.65, 18,102.44 and 7,149.30 is: 9,866.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,117.65 : 18,102.44 = 7,149.30 : x
  2. Step 2: Convert to fraction form
    13,117.65/18,102.44 = 7,149.30/x
  3. Step 3: Cross multiply
    13,117.65x = 18,102.44 × 7,149.30
  4. Step 4: Simplify right side
    13,117.65x = 129,419,774.29
  5. Step 5: Solve for x
    x = 129,419,774.29/13,117.65
  6. Step 6: Final answer
    x = 9,866.08

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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.