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Finding the Fourth Proportional to 21,612.33, 32,405.53 and 8,449.02

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Solution

The fourth proportional to 21,612.33, 32,405.53 and 8,449.02 is: 12,668.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,612.33 : 32,405.53 = 8,449.02 : x
  2. Step 2: Convert to fraction form
    21,612.33/32,405.53 = 8,449.02/x
  3. Step 3: Cross multiply
    21,612.33x = 32,405.53 × 8,449.02
  4. Step 4: Simplify right side
    21,612.33x = 273,794,787.93
  5. Step 5: Solve for x
    x = 273,794,787.93/21,612.33
  6. Step 6: Final answer
    x = 12,668.46

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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.