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Finding the Fourth Proportional to 14,160.68, 19,542.16 and 8,194.20

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Solution

The fourth proportional to 14,160.68, 19,542.16 and 8,194.20 is: 11,308.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,160.68 : 19,542.16 = 8,194.20 : x
  2. Step 2: Convert to fraction form
    14,160.68/19,542.16 = 8,194.20/x
  3. Step 3: Cross multiply
    14,160.68x = 19,542.16 × 8,194.20
  4. Step 4: Simplify right side
    14,160.68x = 160,132,367.47
  5. Step 5: Solve for x
    x = 160,132,367.47/14,160.68
  6. Step 6: Final answer
    x = 11,308.24

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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.