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Finding the Fourth Proportional to 16,549.31, 24,947.96 and 15,449.51

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Solution

The fourth proportional to 16,549.31, 24,947.96 and 15,449.51 is: 23,290.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,549.31 : 24,947.96 = 15,449.51 : x
  2. Step 2: Convert to fraction form
    16,549.31/24,947.96 = 15,449.51/x
  3. Step 3: Cross multiply
    16,549.31x = 24,947.96 × 15,449.51
  4. Step 4: Simplify right side
    16,549.31x = 385,433,757.50
  5. Step 5: Solve for x
    x = 385,433,757.50/16,549.31
  6. Step 6: Final answer
    x = 23,290.02

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Why These Related Problems?

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