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Finding the Fourth Proportional to 22,854.16, 34,285.56 and 8,061.40

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Solution

The fourth proportional to 22,854.16, 34,285.56 and 8,061.40 is: 12,093.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,854.16 : 34,285.56 = 8,061.40 : x
  2. Step 2: Convert to fraction form
    22,854.16/34,285.56 = 8,061.40/x
  3. Step 3: Cross multiply
    22,854.16x = 34,285.56 × 8,061.40
  4. Step 4: Simplify right side
    22,854.16x = 276,389,613.38
  5. Step 5: Solve for x
    x = 276,389,613.38/22,854.16
  6. Step 6: Final answer
    x = 12,093.62

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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.