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Finding the Fourth Proportional to 12,538.13, 17,302.61 and 6,949.13

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Solution

The fourth proportional to 12,538.13, 17,302.61 and 6,949.13 is: 9,589.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,538.13 : 17,302.61 = 6,949.13 : x
  2. Step 2: Convert to fraction form
    12,538.13/17,302.61 = 6,949.13/x
  3. Step 3: Cross multiply
    12,538.13x = 17,302.61 × 6,949.13
  4. Step 4: Simplify right side
    12,538.13x = 120,238,017.09
  5. Step 5: Solve for x
    x = 120,238,017.09/12,538.13
  6. Step 6: Final answer
    x = 9,589.79

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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.