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Finding the Fourth Proportional to 24,387.30, 36,582.30 and 6,855.75

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Solution

The fourth proportional to 24,387.30, 36,582.30 and 6,855.75 is: 10,284.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,387.30 : 36,582.30 = 6,855.75 : x
  2. Step 2: Convert to fraction form
    24,387.30/36,582.30 = 6,855.75/x
  3. Step 3: Cross multiply
    24,387.30x = 36,582.30 × 6,855.75
  4. Step 4: Simplify right side
    24,387.30x = 250,799,103.23
  5. Step 5: Solve for x
    x = 250,799,103.23/24,387.30
  6. Step 6: Final answer
    x = 10,284.00

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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.