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Finding the Fourth Proportional to 24,814.80, 34,244.56 and 13,484.38

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Solution

The fourth proportional to 24,814.80, 34,244.56 and 13,484.38 is: 18,608.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,814.80 : 34,244.56 = 13,484.38 : x
  2. Step 2: Convert to fraction form
    24,814.80/34,244.56 = 13,484.38/x
  3. Step 3: Cross multiply
    24,814.80x = 34,244.56 × 13,484.38
  4. Step 4: Simplify right side
    24,814.80x = 461,766,659.97
  5. Step 5: Solve for x
    x = 461,766,659.97/24,814.80
  6. Step 6: Final answer
    x = 18,608.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.