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Finding the Fourth Proportional to 22,902.25, 34,358.27 and 7,106.94

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Solution

The fourth proportional to 22,902.25, 34,358.27 and 7,106.94 is: 10,661.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,902.25 : 34,358.27 = 7,106.94 : x
  2. Step 2: Convert to fraction form
    22,902.25/34,358.27 = 7,106.94/x
  3. Step 3: Cross multiply
    22,902.25x = 34,358.27 × 7,106.94
  4. Step 4: Simplify right side
    22,902.25x = 244,182,163.39
  5. Step 5: Solve for x
    x = 244,182,163.39/22,902.25
  6. Step 6: Final answer
    x = 10,661.93

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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.