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Finding the Fourth Proportional to 24,388.59, 36,582.90 and 6,858.42

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Solution

The fourth proportional to 24,388.59, 36,582.90 and 6,858.42 is: 10,287.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,388.59 : 36,582.90 = 6,858.42 : x
  2. Step 2: Convert to fraction form
    24,388.59/36,582.90 = 6,858.42/x
  3. Step 3: Cross multiply
    24,388.59x = 36,582.90 × 6,858.42
  4. Step 4: Simplify right side
    24,388.59x = 250,900,893.02
  5. Step 5: Solve for x
    x = 250,900,893.02/24,388.59
  6. Step 6: Final answer
    x = 10,287.63

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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.