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Finding the Fourth Proportional to 13,454.71, 18,546.17 and 10,617.48

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Solution

The fourth proportional to 13,454.71, 18,546.17 and 10,617.48 is: 14,635.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,454.71 : 18,546.17 = 10,617.48 : x
  2. Step 2: Convert to fraction form
    13,454.71/18,546.17 = 10,617.48/x
  3. Step 3: Cross multiply
    13,454.71x = 18,546.17 × 10,617.48
  4. Step 4: Simplify right side
    13,454.71x = 196,913,535.96
  5. Step 5: Solve for x
    x = 196,913,535.96/13,454.71
  6. Step 6: Final answer
    x = 14,635.29

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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.