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Finding the Fourth Proportional to 24,385.68, 36,580.68 and 6,855.66

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Solution

The fourth proportional to 24,385.68, 36,580.68 and 6,855.66 is: 10,284.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,385.68 : 36,580.68 = 6,855.66 : x
  2. Step 2: Convert to fraction form
    24,385.68/36,580.68 = 6,855.66/x
  3. Step 3: Cross multiply
    24,385.68x = 36,580.68 × 6,855.66
  4. Step 4: Simplify right side
    24,385.68x = 250,784,704.65
  5. Step 5: Solve for x
    x = 250,784,704.65/24,385.68
  6. Step 6: Final answer
    x = 10,284.10

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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.