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Finding the Fourth Proportional to 22,842.36, 34,270.92 and 9,705.96

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Solution

The fourth proportional to 22,842.36, 34,270.92 and 9,705.96 is: 14,562.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,842.36 : 34,270.92 = 9,705.96 : x
  2. Step 2: Convert to fraction form
    22,842.36/34,270.92 = 9,705.96/x
  3. Step 3: Cross multiply
    22,842.36x = 34,270.92 × 9,705.96
  4. Step 4: Simplify right side
    22,842.36x = 332,632,178.68
  5. Step 5: Solve for x
    x = 332,632,178.68/22,842.36
  6. Step 6: Final answer
    x = 14,562.08

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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.