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Finding the Fourth Proportional to 24,975, 34,465.50 and 13,797

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Solution

The fourth proportional to 24,975, 34,465.50 and 13,797 is: 19,039.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,975 : 34,465.50 = 13,797 : x
  2. Step 2: Convert to fraction form
    24,975/34,465.50 = 13,797/x
  3. Step 3: Cross multiply
    24,975x = 34,465.50 × 13,797
  4. Step 4: Simplify right side
    24,975x = 475,520,503.50
  5. Step 5: Solve for x
    x = 475,520,503.50/24,975
  6. Step 6: Final answer
    x = 19,039.86

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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.