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Finding the Fourth Proportional to 12,538.84, 17,304.18 and 6,949.96

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Solution

The fourth proportional to 12,538.84, 17,304.18 and 6,949.96 is: 9,591.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,538.84 : 17,304.18 = 6,949.96 : x
  2. Step 2: Convert to fraction form
    12,538.84/17,304.18 = 6,949.96/x
  3. Step 3: Cross multiply
    12,538.84x = 17,304.18 × 6,949.96
  4. Step 4: Simplify right side
    12,538.84x = 120,263,358.83
  5. Step 5: Solve for x
    x = 120,263,358.83/12,538.84
  6. Step 6: Final answer
    x = 9,591.27

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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.