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Finding the Fourth Proportional to 21,744.72, 32,597.52 and 7,884

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Solution

The fourth proportional to 21,744.72, 32,597.52 and 7,884 is: 11,818.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,744.72 : 32,597.52 = 7,884 : x
  2. Step 2: Convert to fraction form
    21,744.72/32,597.52 = 7,884/x
  3. Step 3: Cross multiply
    21,744.72x = 32,597.52 × 7,884
  4. Step 4: Simplify right side
    21,744.72x = 256,998,847.68
  5. Step 5: Solve for x
    x = 256,998,847.68/21,744.72
  6. Step 6: Final answer
    x = 11,818.91

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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.