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Finding the Fourth Proportional to 13,672.08, 18,867.60 and 8,082

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Solution

The fourth proportional to 13,672.08, 18,867.60 and 8,082 is: 11,153.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,672.08 : 18,867.60 = 8,082 : x
  2. Step 2: Convert to fraction form
    13,672.08/18,867.60 = 8,082/x
  3. Step 3: Cross multiply
    13,672.08x = 18,867.60 × 8,082
  4. Step 4: Simplify right side
    13,672.08x = 152,487,943.20
  5. Step 5: Solve for x
    x = 152,487,943.20/13,672.08
  6. Step 6: Final answer
    x = 11,153.24

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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.