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Finding the Fourth Proportional to 12,538.16, 17,301.48 and 6,949.04

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Solution

The fourth proportional to 12,538.16, 17,301.48 and 6,949.04 is: 9,589.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,538.16 : 17,301.48 = 6,949.04 : x
  2. Step 2: Convert to fraction form
    12,538.16/17,301.48 = 6,949.04/x
  3. Step 3: Cross multiply
    12,538.16x = 17,301.48 × 6,949.04
  4. Step 4: Simplify right side
    12,538.16x = 120,228,676.58
  5. Step 5: Solve for x
    x = 120,228,676.58/12,538.16
  6. Step 6: Final answer
    x = 9,589.02

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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.