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Finding the Fourth Proportional to 13,454.31, 18,563.51 and 8,148.11

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Solution

The fourth proportional to 13,454.31, 18,563.51 and 8,148.11 is: 11,242.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,454.31 : 18,563.51 = 8,148.11 : x
  2. Step 2: Convert to fraction form
    13,454.31/18,563.51 = 8,148.11/x
  3. Step 3: Cross multiply
    13,454.31x = 18,563.51 × 8,148.11
  4. Step 4: Simplify right side
    13,454.31x = 151,257,449.02
  5. Step 5: Solve for x
    x = 151,257,449.02/13,454.31
  6. Step 6: Final answer
    x = 11,242.30

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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.