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Finding the Fourth Proportional to 21,766.80, 32,630.44 and 7,906

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Solution

The fourth proportional to 21,766.80, 32,630.44 and 7,906 is: 11,851.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,766.80 : 32,630.44 = 7,906 : x
  2. Step 2: Convert to fraction form
    21,766.80/32,630.44 = 7,906/x
  3. Step 3: Cross multiply
    21,766.80x = 32,630.44 × 7,906
  4. Step 4: Simplify right side
    21,766.80x = 257,976,258.64
  5. Step 5: Solve for x
    x = 257,976,258.64/21,766.80
  6. Step 6: Final answer
    x = 11,851.82

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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.