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Finding the Fourth Proportional to 16,452.44, 22,702.68 and 9,378.44

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Solution

The fourth proportional to 16,452.44, 22,702.68 and 9,378.44 is: 12,941.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,452.44 : 22,702.68 = 9,378.44 : x
  2. Step 2: Convert to fraction form
    16,452.44/22,702.68 = 9,378.44/x
  3. Step 3: Cross multiply
    16,452.44x = 22,702.68 × 9,378.44
  4. Step 4: Simplify right side
    16,452.44x = 212,915,722.22
  5. Step 5: Solve for x
    x = 212,915,722.22/16,452.44
  6. Step 6: Final answer
    x = 12,941.29

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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.