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Finding the Fourth Proportional to 15,922.90, 23,884.35 and 8,049.70

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Solution

The fourth proportional to 15,922.90, 23,884.35 and 8,049.70 is: 12,074.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,922.90 : 23,884.35 = 8,049.70 : x
  2. Step 2: Convert to fraction form
    15,922.90/23,884.35 = 8,049.70/x
  3. Step 3: Cross multiply
    15,922.90x = 23,884.35 × 8,049.70
  4. Step 4: Simplify right side
    15,922.90x = 192,261,852.20
  5. Step 5: Solve for x
    x = 192,261,852.20/15,922.90
  6. Step 6: Final answer
    x = 12,074.55

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.