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Finding the Fourth Proportional to 15,781.71, 21,777.68 and 8,708.25

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Solution

The fourth proportional to 15,781.71, 21,777.68 and 8,708.25 is: 12,016.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,781.71 : 21,777.68 = 8,708.25 : x
  2. Step 2: Convert to fraction form
    15,781.71/21,777.68 = 8,708.25/x
  3. Step 3: Cross multiply
    15,781.71x = 21,777.68 × 8,708.25
  4. Step 4: Simplify right side
    15,781.71x = 189,645,503.63
  5. Step 5: Solve for x
    x = 189,645,503.63/15,781.71
  6. Step 6: Final answer
    x = 12,016.79

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.