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Finding the Fourth Proportional to 21,724.60, 32,570.70 and 9,234.40

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Solution

The fourth proportional to 21,724.60, 32,570.70 and 9,234.40 is: 13,844.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,724.60 : 32,570.70 = 9,234.40 : x
  2. Step 2: Convert to fraction form
    21,724.60/32,570.70 = 9,234.40/x
  3. Step 3: Cross multiply
    21,724.60x = 32,570.70 × 9,234.40
  4. Step 4: Simplify right side
    21,724.60x = 300,770,872.08
  5. Step 5: Solve for x
    x = 300,770,872.08/21,724.60
  6. Step 6: Final answer
    x = 13,844.71

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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.