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Finding the Fourth Proportional to 15,211.40, 20,991.52 and 8,497.14

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Solution

The fourth proportional to 15,211.40, 20,991.52 and 8,497.14 is: 11,725.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,211.40 : 20,991.52 = 8,497.14 : x
  2. Step 2: Convert to fraction form
    15,211.40/20,991.52 = 8,497.14/x
  3. Step 3: Cross multiply
    15,211.40x = 20,991.52 × 8,497.14
  4. Step 4: Simplify right side
    15,211.40x = 178,367,884.25
  5. Step 5: Solve for x
    x = 178,367,884.25/15,211.40
  6. Step 6: Final answer
    x = 11,725.93

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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.