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Finding the Fourth Proportional to 16,408.94, 22,652.04 and 12,377.42

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Solution

The fourth proportional to 16,408.94, 22,652.04 and 12,377.42 is: 17,086.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,408.94 : 22,652.04 = 12,377.42 : x
  2. Step 2: Convert to fraction form
    16,408.94/22,652.04 = 12,377.42/x
  3. Step 3: Cross multiply
    16,408.94x = 22,652.04 × 12,377.42
  4. Step 4: Simplify right side
    16,408.94x = 280,373,812.94
  5. Step 5: Solve for x
    x = 280,373,812.94/16,408.94
  6. Step 6: Final answer
    x = 17,086.65

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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.