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Finding the Fourth Proportional to 12,534.80, 17,298.12 and 7,229.48

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Solution

The fourth proportional to 12,534.80, 17,298.12 and 7,229.48 is: 9,976.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,534.80 : 17,298.12 = 7,229.48 : x
  2. Step 2: Convert to fraction form
    12,534.80/17,298.12 = 7,229.48/x
  3. Step 3: Cross multiply
    12,534.80x = 17,298.12 × 7,229.48
  4. Step 4: Simplify right side
    12,534.80x = 125,056,412.58
  5. Step 5: Solve for x
    x = 125,056,412.58/12,534.80
  6. Step 6: Final answer
    x = 9,976.74

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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.