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Finding the Fourth Proportional to 15,211.68, 22,824.96 and 8,544

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Solution

The fourth proportional to 15,211.68, 22,824.96 and 8,544 is: 12,820.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,211.68 : 22,824.96 = 8,544 : x
  2. Step 2: Convert to fraction form
    15,211.68/22,824.96 = 8,544/x
  3. Step 3: Cross multiply
    15,211.68x = 22,824.96 × 8,544
  4. Step 4: Simplify right side
    15,211.68x = 195,016,458.24
  5. Step 5: Solve for x
    x = 195,016,458.24/15,211.68
  6. Step 6: Final answer
    x = 12,820.18

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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.