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Finding the Fourth Proportional to 24,312.65, 36,469.79 and 6,781.01

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Solution

The fourth proportional to 24,312.65, 36,469.79 and 6,781.01 is: 10,171.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,312.65 : 36,469.79 = 6,781.01 : x
  2. Step 2: Convert to fraction form
    24,312.65/36,469.79 = 6,781.01/x
  3. Step 3: Cross multiply
    24,312.65x = 36,469.79 × 6,781.01
  4. Step 4: Simplify right side
    24,312.65x = 247,301,976.78
  5. Step 5: Solve for x
    x = 247,301,976.78/24,312.65
  6. Step 6: Final answer
    x = 10,171.74

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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.