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Finding the Fourth Proportional to 12,566.52, 17,333.96 and 8,082.50

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Solution

The fourth proportional to 12,566.52, 17,333.96 and 8,082.50 is: 11,148.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,566.52 : 17,333.96 = 8,082.50 : x
  2. Step 2: Convert to fraction form
    12,566.52/17,333.96 = 8,082.50/x
  3. Step 3: Cross multiply
    12,566.52x = 17,333.96 × 8,082.50
  4. Step 4: Simplify right side
    12,566.52x = 140,101,731.70
  5. Step 5: Solve for x
    x = 140,101,731.70/12,566.52
  6. Step 6: Final answer
    x = 11,148.81

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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.