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Finding the Fourth Proportional to 13,742.46, 18,959.19 and 8,967.99

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Solution

The fourth proportional to 13,742.46, 18,959.19 and 8,967.99 is: 12,372.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,742.46 : 18,959.19 = 8,967.99 : x
  2. Step 2: Convert to fraction form
    13,742.46/18,959.19 = 8,967.99/x
  3. Step 3: Cross multiply
    13,742.46x = 18,959.19 × 8,967.99
  4. Step 4: Simplify right side
    13,742.46x = 170,025,826.33
  5. Step 5: Solve for x
    x = 170,025,826.33/13,742.46
  6. Step 6: Final answer
    x = 12,372.30

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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.