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Finding the Fourth Proportional to 22,470.85, 33,679.45 and 10,446.75

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Solution

The fourth proportional to 22,470.85, 33,679.45 and 10,446.75 is: 15,657.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,470.85 : 33,679.45 = 10,446.75 : x
  2. Step 2: Convert to fraction form
    22,470.85/33,679.45 = 10,446.75/x
  3. Step 3: Cross multiply
    22,470.85x = 33,679.45 × 10,446.75
  4. Step 4: Simplify right side
    22,470.85x = 351,840,742.05
  5. Step 5: Solve for x
    x = 351,840,742.05/22,470.85
  6. Step 6: Final answer
    x = 15,657.66

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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.