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Finding the Fourth Proportional to 16,291, 24,436.50 and 5,902.75

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Solution

The fourth proportional to 16,291, 24,436.50 and 5,902.75 is: 8,854.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,291 : 24,436.50 = 5,902.75 : x
  2. Step 2: Convert to fraction form
    16,291/24,436.50 = 5,902.75/x
  3. Step 3: Cross multiply
    16,291x = 24,436.50 × 5,902.75
  4. Step 4: Simplify right side
    16,291x = 144,242,550.38
  5. Step 5: Solve for x
    x = 144,242,550.38/16,291
  6. Step 6: Final answer
    x = 8,854.13

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Why These Related Problems?

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