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Finding the Fourth Proportional to 24,449.16, 36,806.43 and 21,909

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Solution

The fourth proportional to 24,449.16, 36,806.43 and 21,909 is: 32,982.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,449.16 : 36,806.43 = 21,909 : x
  2. Step 2: Convert to fraction form
    24,449.16/36,806.43 = 21,909/x
  3. Step 3: Cross multiply
    24,449.16x = 36,806.43 × 21,909
  4. Step 4: Simplify right side
    24,449.16x = 806,392,074.87
  5. Step 5: Solve for x
    x = 806,392,074.87/24,449.16
  6. Step 6: Final answer
    x = 32,982.40

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.