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Finding the Fourth Proportional to 15,211.34, 20,989.24 and 8,496.64

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Solution

The fourth proportional to 15,211.34, 20,989.24 and 8,496.64 is: 11,724.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,211.34 : 20,989.24 = 8,496.64 : x
  2. Step 2: Convert to fraction form
    15,211.34/20,989.24 = 8,496.64/x
  3. Step 3: Cross multiply
    15,211.34x = 20,989.24 × 8,496.64
  4. Step 4: Simplify right side
    15,211.34x = 178,338,016.15
  5. Step 5: Solve for x
    x = 178,338,016.15/15,211.34
  6. Step 6: Final answer
    x = 11,724.02

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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.