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Finding the Fourth Proportional to 22,822.09, 34,207.70 and 9,487.64

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Solution

The fourth proportional to 22,822.09, 34,207.70 and 9,487.64 is: 14,220.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,822.09 : 34,207.70 = 9,487.64 : x
  2. Step 2: Convert to fraction form
    22,822.09/34,207.70 = 9,487.64/x
  3. Step 3: Cross multiply
    22,822.09x = 34,207.70 × 9,487.64
  4. Step 4: Simplify right side
    22,822.09x = 324,550,380.91
  5. Step 5: Solve for x
    x = 324,550,380.91/22,822.09
  6. Step 6: Final answer
    x = 14,220.89

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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.