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Finding the Fourth Proportional to 12,689.50, 17,519.19 and 8,281.18

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Solution

The fourth proportional to 12,689.50, 17,519.19 and 8,281.18 is: 11,433.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,689.50 : 17,519.19 = 8,281.18 : x
  2. Step 2: Convert to fraction form
    12,689.50/17,519.19 = 8,281.18/x
  3. Step 3: Cross multiply
    12,689.50x = 17,519.19 × 8,281.18
  4. Step 4: Simplify right side
    12,689.50x = 145,079,565.84
  5. Step 5: Solve for x
    x = 145,079,565.84/12,689.50
  6. Step 6: Final answer
    x = 11,433.04

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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.