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Finding the Fourth Proportional to 21,717.60, 32,571 and 9,231.18

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Solution

The fourth proportional to 21,717.60, 32,571 and 9,231.18 is: 13,844.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,717.60 : 32,571 = 9,231.18 : x
  2. Step 2: Convert to fraction form
    21,717.60/32,571 = 9,231.18/x
  3. Step 3: Cross multiply
    21,717.60x = 32,571 × 9,231.18
  4. Step 4: Simplify right side
    21,717.60x = 300,668,763.78
  5. Step 5: Solve for x
    x = 300,668,763.78/21,717.60
  6. Step 6: Final answer
    x = 13,844.47

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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.