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Finding the Fourth Proportional to 22,792.70, 34,193.85 and 9,638.30

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Solution

The fourth proportional to 22,792.70, 34,193.85 and 9,638.30 is: 14,459.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,792.70 : 34,193.85 = 9,638.30 : x
  2. Step 2: Convert to fraction form
    22,792.70/34,193.85 = 9,638.30/x
  3. Step 3: Cross multiply
    22,792.70x = 34,193.85 × 9,638.30
  4. Step 4: Simplify right side
    22,792.70x = 329,570,584.46
  5. Step 5: Solve for x
    x = 329,570,584.46/22,792.70
  6. Step 6: Final answer
    x = 14,459.48

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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.