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Finding the Fourth Proportional to 13,508.13, 18,643.65 and 8,057.54

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Solution

The fourth proportional to 13,508.13, 18,643.65 and 8,057.54 is: 11,120.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,508.13 : 18,643.65 = 8,057.54 : x
  2. Step 2: Convert to fraction form
    13,508.13/18,643.65 = 8,057.54/x
  3. Step 3: Cross multiply
    13,508.13x = 18,643.65 × 8,057.54
  4. Step 4: Simplify right side
    13,508.13x = 150,222,017.34
  5. Step 5: Solve for x
    x = 150,222,017.34/13,508.13
  6. Step 6: Final answer
    x = 11,120.86

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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.