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Finding the Fourth Proportional to 22,285.29, 33,433.50 and 15,724.29

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Solution

The fourth proportional to 22,285.29, 33,433.50 and 15,724.29 is: 23,590.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,285.29 : 33,433.50 = 15,724.29 : x
  2. Step 2: Convert to fraction form
    22,285.29/33,433.50 = 15,724.29/x
  3. Step 3: Cross multiply
    22,285.29x = 33,433.50 × 15,724.29
  4. Step 4: Simplify right side
    22,285.29x = 525,718,049.72
  5. Step 5: Solve for x
    x = 525,718,049.72/22,285.29
  6. Step 6: Final answer
    x = 23,590.36

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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.