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Finding the Fourth Proportional to 14,842.49, 22,263.54 and 5,961.75

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Solution

The fourth proportional to 14,842.49, 22,263.54 and 5,961.75 is: 8,942.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,842.49 : 22,263.54 = 5,961.75 : x
  2. Step 2: Convert to fraction form
    14,842.49/22,263.54 = 5,961.75/x
  3. Step 3: Cross multiply
    14,842.49x = 22,263.54 × 5,961.75
  4. Step 4: Simplify right side
    14,842.49x = 132,729,659.60
  5. Step 5: Solve for x
    x = 132,729,659.60/14,842.49
  6. Step 6: Final answer
    x = 8,942.55

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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.