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Finding the Fourth Proportional to 24,756.38, 34,163.80 and 13,578.38

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Solution

The fourth proportional to 24,756.38, 34,163.80 and 13,578.38 is: 18,738.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,756.38 : 34,163.80 = 13,578.38 : x
  2. Step 2: Convert to fraction form
    24,756.38/34,163.80 = 13,578.38/x
  3. Step 3: Cross multiply
    24,756.38x = 34,163.80 × 13,578.38
  4. Step 4: Simplify right side
    24,756.38x = 463,888,853.88
  5. Step 5: Solve for x
    x = 463,888,853.88/24,756.38
  6. Step 6: Final answer
    x = 18,738.16

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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.