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Finding the Fourth Proportional to 14,159.12, 19,542 and 8,194.42

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Solution

The fourth proportional to 14,159.12, 19,542 and 8,194.42 is: 11,309.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,159.12 : 19,542 = 8,194.42 : x
  2. Step 2: Convert to fraction form
    14,159.12/19,542 = 8,194.42/x
  3. Step 3: Cross multiply
    14,159.12x = 19,542 × 8,194.42
  4. Step 4: Simplify right side
    14,159.12x = 160,135,355.64
  5. Step 5: Solve for x
    x = 160,135,355.64/14,159.12
  6. Step 6: Final answer
    x = 11,309.70

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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.