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Finding the Fourth Proportional to 15,716.22, 23,552.86 and 8,685.82

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Solution

The fourth proportional to 15,716.22, 23,552.86 and 8,685.82 is: 13,016.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,716.22 : 23,552.86 = 8,685.82 : x
  2. Step 2: Convert to fraction form
    15,716.22/23,552.86 = 8,685.82/x
  3. Step 3: Cross multiply
    15,716.22x = 23,552.86 × 8,685.82
  4. Step 4: Simplify right side
    15,716.22x = 204,575,902.45
  5. Step 5: Solve for x
    x = 204,575,902.45/15,716.22
  6. Step 6: Final answer
    x = 13,016.86

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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.