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Finding the Fourth Proportional to 16,514, 24,774.84 and 5,570

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Solution

The fourth proportional to 16,514, 24,774.84 and 5,570 is: 8,356.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,514 : 24,774.84 = 5,570 : x
  2. Step 2: Convert to fraction form
    16,514/24,774.84 = 5,570/x
  3. Step 3: Cross multiply
    16,514x = 24,774.84 × 5,570
  4. Step 4: Simplify right side
    16,514x = 137,995,858.80
  5. Step 5: Solve for x
    x = 137,995,858.80/16,514
  6. Step 6: Final answer
    x = 8,356.30

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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.