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Finding the Fourth Proportional to 12,534.39, 17,297.96 and 7,229.70

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Solution

The fourth proportional to 12,534.39, 17,297.96 and 7,229.70 is: 9,977.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,534.39 : 17,297.96 = 7,229.70 : x
  2. Step 2: Convert to fraction form
    12,534.39/17,297.96 = 7,229.70/x
  3. Step 3: Cross multiply
    12,534.39x = 17,297.96 × 7,229.70
  4. Step 4: Simplify right side
    12,534.39x = 125,059,025.26
  5. Step 5: Solve for x
    x = 125,059,025.26/12,534.39
  6. Step 6: Final answer
    x = 9,977.27

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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.