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Finding the Fourth Proportional to 22,902.34, 34,358.42 and 7,107.03

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Solution

The fourth proportional to 22,902.34, 34,358.42 and 7,107.03 is: 10,662.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,902.34 : 34,358.42 = 7,107.03 : x
  2. Step 2: Convert to fraction form
    22,902.34/34,358.42 = 7,107.03/x
  3. Step 3: Cross multiply
    22,902.34x = 34,358.42 × 7,107.03
  4. Step 4: Simplify right side
    22,902.34x = 244,186,286.16
  5. Step 5: Solve for x
    x = 244,186,286.16/22,902.34
  6. Step 6: Final answer
    x = 10,662.07

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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.