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Finding the Fourth Proportional to 22,802.72, 34,214.00 and 8,022.24

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Solution

The fourth proportional to 22,802.72, 34,214.00 and 8,022.24 is: 12,036.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,802.72 : 34,214.00 = 8,022.24 : x
  2. Step 2: Convert to fraction form
    22,802.72/34,214.00 = 8,022.24/x
  3. Step 3: Cross multiply
    22,802.72x = 34,214.00 × 8,022.24
  4. Step 4: Simplify right side
    22,802.72x = 274,472,879.25
  5. Step 5: Solve for x
    x = 274,472,879.25/22,802.72
  6. Step 6: Final answer
    x = 12,036.85

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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.