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Finding the Fourth Proportional to 22,952.82, 34,417.86 and 8,159.52

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Solution

The fourth proportional to 22,952.82, 34,417.86 and 8,159.52 is: 12,235.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,952.82 : 34,417.86 = 8,159.52 : x
  2. Step 2: Convert to fraction form
    22,952.82/34,417.86 = 8,159.52/x
  3. Step 3: Cross multiply
    22,952.82x = 34,417.86 × 8,159.52
  4. Step 4: Simplify right side
    22,952.82x = 280,833,217.03
  5. Step 5: Solve for x
    x = 280,833,217.03/22,952.82
  6. Step 6: Final answer
    x = 12,235.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.