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Finding the Fourth Proportional to 21,766.68, 32,648.31 and 6,971.64

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Solution

The fourth proportional to 21,766.68, 32,648.31 and 6,971.64 is: 10,456.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,766.68 : 32,648.31 = 6,971.64 : x
  2. Step 2: Convert to fraction form
    21,766.68/32,648.31 = 6,971.64/x
  3. Step 3: Cross multiply
    21,766.68x = 32,648.31 × 6,971.64
  4. Step 4: Simplify right side
    21,766.68x = 227,612,263.93
  5. Step 5: Solve for x
    x = 227,612,263.93/21,766.68
  6. Step 6: Final answer
    x = 10,456.91

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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.