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Finding the Fourth Proportional to 24,268.50, 33,489.72 and 13,657.50

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Solution

The fourth proportional to 24,268.50, 33,489.72 and 13,657.50 is: 18,846.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,268.50 : 33,489.72 = 13,657.50 : x
  2. Step 2: Convert to fraction form
    24,268.50/33,489.72 = 13,657.50/x
  3. Step 3: Cross multiply
    24,268.50x = 33,489.72 × 13,657.50
  4. Step 4: Simplify right side
    24,268.50x = 457,385,850.90
  5. Step 5: Solve for x
    x = 457,385,850.90/24,268.50
  6. Step 6: Final answer
    x = 18,846.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.