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Finding the Fourth Proportional to 12,538.10, 17,302.41 and 6,949.10

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Solution

The fourth proportional to 12,538.10, 17,302.41 and 6,949.10 is: 9,589.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,538.10 : 17,302.41 = 6,949.10 : x
  2. Step 2: Convert to fraction form
    12,538.10/17,302.41 = 6,949.10/x
  3. Step 3: Cross multiply
    12,538.10x = 17,302.41 × 6,949.10
  4. Step 4: Simplify right side
    12,538.10x = 120,236,177.33
  5. Step 5: Solve for x
    x = 120,236,177.33/12,538.10
  6. Step 6: Final answer
    x = 9,589.66

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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.