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Finding the Fourth Proportional to 24,593.20, 36,880.80 and 7,957.60

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Solution

The fourth proportional to 24,593.20, 36,880.80 and 7,957.60 is: 11,933.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,593.20 : 36,880.80 = 7,957.60 : x
  2. Step 2: Convert to fraction form
    24,593.20/36,880.80 = 7,957.60/x
  3. Step 3: Cross multiply
    24,593.20x = 36,880.80 × 7,957.60
  4. Step 4: Simplify right side
    24,593.20x = 293,482,654.08
  5. Step 5: Solve for x
    x = 293,482,654.08/24,593.20
  6. Step 6: Final answer
    x = 11,933.49

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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.