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Finding the Fourth Proportional to 24,756.52, 34,164.04 and 13,578.52

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Solution

The fourth proportional to 24,756.52, 34,164.04 and 13,578.52 is: 18,738.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,756.52 : 34,164.04 = 13,578.52 : x
  2. Step 2: Convert to fraction form
    24,756.52/34,164.04 = 13,578.52/x
  3. Step 3: Cross multiply
    24,756.52x = 34,164.04 × 13,578.52
  4. Step 4: Simplify right side
    24,756.52x = 463,897,100.42
  5. Step 5: Solve for x
    x = 463,897,100.42/24,756.52
  6. Step 6: Final answer
    x = 18,738.38

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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.