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Finding the Fourth Proportional to 22,678.92, 34,020.36 and 7,096.14

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Solution

The fourth proportional to 22,678.92, 34,020.36 and 7,096.14 is: 10,644.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,678.92 : 34,020.36 = 7,096.14 : x
  2. Step 2: Convert to fraction form
    22,678.92/34,020.36 = 7,096.14/x
  3. Step 3: Cross multiply
    22,678.92x = 34,020.36 × 7,096.14
  4. Step 4: Simplify right side
    22,678.92x = 241,413,237.41
  5. Step 5: Solve for x
    x = 241,413,237.41/22,678.92
  6. Step 6: Final answer
    x = 10,644.83

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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.