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Finding the Fourth Proportional to 16,480.95, 22,745.34 and 9,408.42

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Solution

The fourth proportional to 16,480.95, 22,745.34 and 9,408.42 is: 12,984.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,480.95 : 22,745.34 = 9,408.42 : x
  2. Step 2: Convert to fraction form
    16,480.95/22,745.34 = 9,408.42/x
  3. Step 3: Cross multiply
    16,480.95x = 22,745.34 × 9,408.42
  4. Step 4: Simplify right side
    16,480.95x = 213,997,711.76
  5. Step 5: Solve for x
    x = 213,997,711.76/16,480.95
  6. Step 6: Final answer
    x = 12,984.55

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1.5x scale

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.