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Finding the Fourth Proportional to 16,702.24, 23,049.84 and 9,250.24

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Solution

The fourth proportional to 16,702.24, 23,049.84 and 9,250.24 is: 12,765.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,702.24 : 23,049.84 = 9,250.24 : x
  2. Step 2: Convert to fraction form
    16,702.24/23,049.84 = 9,250.24/x
  3. Step 3: Cross multiply
    16,702.24x = 23,049.84 × 9,250.24
  4. Step 4: Simplify right side
    16,702.24x = 213,216,551.96
  5. Step 5: Solve for x
    x = 213,216,551.96/16,702.24
  6. Step 6: Final answer
    x = 12,765.75

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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.