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Finding the Fourth Proportional to 22,854.90, 34,286.58 and 8,073.22

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Solution

The fourth proportional to 22,854.90, 34,286.58 and 8,073.22 is: 12,111.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,854.90 : 34,286.58 = 8,073.22 : x
  2. Step 2: Convert to fraction form
    22,854.90/34,286.58 = 8,073.22/x
  3. Step 3: Cross multiply
    22,854.90x = 34,286.58 × 8,073.22
  4. Step 4: Simplify right side
    22,854.90x = 276,803,103.39
  5. Step 5: Solve for x
    x = 276,803,103.39/22,854.90
  6. Step 6: Final answer
    x = 12,111.32

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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.