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Finding the Fourth Proportional to 24,582.43, 36,873.60 and 6,114.43

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Solution

The fourth proportional to 24,582.43, 36,873.60 and 6,114.43 is: 9,171.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,582.43 : 36,873.60 = 6,114.43 : x
  2. Step 2: Convert to fraction form
    24,582.43/36,873.60 = 6,114.43/x
  3. Step 3: Cross multiply
    24,582.43x = 36,873.60 × 6,114.43
  4. Step 4: Simplify right side
    24,582.43x = 225,461,046.05
  5. Step 5: Solve for x
    x = 225,461,046.05/24,582.43
  6. Step 6: Final answer
    x = 9,171.63

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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.