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Finding the Fourth Proportional to 21,714.66, 32,571.38 and 9,228.42

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Solution

The fourth proportional to 21,714.66, 32,571.38 and 9,228.42 is: 13,842.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,714.66 : 32,571.38 = 9,228.42 : x
  2. Step 2: Convert to fraction form
    21,714.66/32,571.38 = 9,228.42/x
  3. Step 3: Cross multiply
    21,714.66x = 32,571.38 × 9,228.42
  4. Step 4: Simplify right side
    21,714.66x = 300,582,397.69
  5. Step 5: Solve for x
    x = 300,582,397.69/21,714.66
  6. Step 6: Final answer
    x = 13,842.37

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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.