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Finding the Fourth Proportional to 16,475.44, 24,684 and 13,685.80

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Solution

The fourth proportional to 16,475.44, 24,684 and 13,685.80 is: 20,504.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,475.44 : 24,684 = 13,685.80 : x
  2. Step 2: Convert to fraction form
    16,475.44/24,684 = 13,685.80/x
  3. Step 3: Cross multiply
    16,475.44x = 24,684 × 13,685.80
  4. Step 4: Simplify right side
    16,475.44x = 337,820,287.20
  5. Step 5: Solve for x
    x = 337,820,287.20/16,475.44
  6. Step 6: Final answer
    x = 20,504.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.