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Finding the Fourth Proportional to 15,885.76, 21,922.80 and 8,716

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Solution

The fourth proportional to 15,885.76, 21,922.80 and 8,716 is: 12,028.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,885.76 : 21,922.80 = 8,716 : x
  2. Step 2: Convert to fraction form
    15,885.76/21,922.80 = 8,716/x
  3. Step 3: Cross multiply
    15,885.76x = 21,922.80 × 8,716
  4. Step 4: Simplify right side
    15,885.76x = 191,079,124.80
  5. Step 5: Solve for x
    x = 191,079,124.80/15,885.76
  6. Step 6: Final answer
    x = 12,028.33

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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.