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Finding the Fourth Proportional to 16,702.44, 23,049.93 and 9,149.22

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Solution

The fourth proportional to 16,702.44, 23,049.93 and 9,149.22 is: 12,626.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,702.44 : 23,049.93 = 9,149.22 : x
  2. Step 2: Convert to fraction form
    16,702.44/23,049.93 = 9,149.22/x
  3. Step 3: Cross multiply
    16,702.44x = 23,049.93 × 9,149.22
  4. Step 4: Simplify right side
    16,702.44x = 210,888,914.86
  5. Step 5: Solve for x
    x = 210,888,914.86/16,702.44
  6. Step 6: Final answer
    x = 12,626.24

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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.