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Finding the Fourth Proportional to 13,414.95, 18,515.25 and 8,566.56

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Solution

The fourth proportional to 13,414.95, 18,515.25 and 8,566.56 is: 11,823.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,414.95 : 18,515.25 = 8,566.56 : x
  2. Step 2: Convert to fraction form
    13,414.95/18,515.25 = 8,566.56/x
  3. Step 3: Cross multiply
    13,414.95x = 18,515.25 × 8,566.56
  4. Step 4: Simplify right side
    13,414.95x = 158,612,000.04
  5. Step 5: Solve for x
    x = 158,612,000.04/13,414.95
  6. Step 6: Final answer
    x = 11,823.53

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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.