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Finding the Fourth Proportional to 24,268.62, 36,402.93 and 6,738.60

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Solution

The fourth proportional to 24,268.62, 36,402.93 and 6,738.60 is: 10,107.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,268.62 : 36,402.93 = 6,738.60 : x
  2. Step 2: Convert to fraction form
    24,268.62/36,402.93 = 6,738.60/x
  3. Step 3: Cross multiply
    24,268.62x = 36,402.93 × 6,738.60
  4. Step 4: Simplify right side
    24,268.62x = 245,304,784.10
  5. Step 5: Solve for x
    x = 245,304,784.10/24,268.62
  6. Step 6: Final answer
    x = 10,107.90

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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.