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Finding the Fourth Proportional to 24,677.26, 37,021.46 and 13,578.23

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Solution

The fourth proportional to 24,677.26, 37,021.46 and 13,578.23 is: 20,370.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,677.26 : 37,021.46 = 13,578.23 : x
  2. Step 2: Convert to fraction form
    24,677.26/37,021.46 = 13,578.23/x
  3. Step 3: Cross multiply
    24,677.26x = 37,021.46 × 13,578.23
  4. Step 4: Simplify right side
    24,677.26x = 502,685,923.48
  5. Step 5: Solve for x
    x = 502,685,923.48/24,677.26
  6. Step 6: Final answer
    x = 20,370.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.