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Finding the Fourth Proportional to 24,757.80, 37,169.66 and 14,377

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Solution

The fourth proportional to 24,757.80, 37,169.66 and 14,377 is: 21,584.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,757.80 : 37,169.66 = 14,377 : x
  2. Step 2: Convert to fraction form
    24,757.80/37,169.66 = 14,377/x
  3. Step 3: Cross multiply
    24,757.80x = 37,169.66 × 14,377
  4. Step 4: Simplify right side
    24,757.80x = 534,388,201.82
  5. Step 5: Solve for x
    x = 534,388,201.82/24,757.80
  6. Step 6: Final answer
    x = 21,584.64

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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.