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Finding the Fourth Proportional to 12,534.56, 17,302.19 and 8,552.83

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Solution

The fourth proportional to 12,534.56, 17,302.19 and 8,552.83 is: 11,805.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,534.56 : 17,302.19 = 8,552.83 : x
  2. Step 2: Convert to fraction form
    12,534.56/17,302.19 = 8,552.83/x
  3. Step 3: Cross multiply
    12,534.56x = 17,302.19 × 8,552.83
  4. Step 4: Simplify right side
    12,534.56x = 147,982,689.70
  5. Step 5: Solve for x
    x = 147,982,689.70/12,534.56
  6. Step 6: Final answer
    x = 11,805.97

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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.