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Finding the Fourth Proportional to 22,294.89, 33,442.74 and 10,605.78

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Solution

The fourth proportional to 22,294.89, 33,442.74 and 10,605.78 is: 15,908.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,294.89 : 33,442.74 = 10,605.78 : x
  2. Step 2: Convert to fraction form
    22,294.89/33,442.74 = 10,605.78/x
  3. Step 3: Cross multiply
    22,294.89x = 33,442.74 × 10,605.78
  4. Step 4: Simplify right side
    22,294.89x = 354,686,343.04
  5. Step 5: Solve for x
    x = 354,686,343.04/22,294.89
  6. Step 6: Final answer
    x = 15,908.86

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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.