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Finding the Fourth Proportional to 22,849, 34,278.54 and 9,712.60

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Solution

The fourth proportional to 22,849, 34,278.54 and 9,712.60 is: 14,571.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,849 : 34,278.54 = 9,712.60 : x
  2. Step 2: Convert to fraction form
    22,849/34,278.54 = 9,712.60/x
  3. Step 3: Cross multiply
    22,849x = 34,278.54 × 9,712.60
  4. Step 4: Simplify right side
    22,849x = 332,933,747.60
  5. Step 5: Solve for x
    x = 332,933,747.60/22,849
  6. Step 6: Final answer
    x = 14,571.04

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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.