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Finding the Fourth Proportional to 22,772.81, 34,160.13 and 7,190.44

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Solution

The fourth proportional to 22,772.81, 34,160.13 and 7,190.44 is: 10,785.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,772.81 : 34,160.13 = 7,190.44 : x
  2. Step 2: Convert to fraction form
    22,772.81/34,160.13 = 7,190.44/x
  3. Step 3: Cross multiply
    22,772.81x = 34,160.13 × 7,190.44
  4. Step 4: Simplify right side
    22,772.81x = 245,626,279.76
  5. Step 5: Solve for x
    x = 245,626,279.76/22,772.81
  6. Step 6: Final answer
    x = 10,785.94

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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.