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Finding the Fourth Proportional to 20,853.75, 28,780.95 and 11,899.20

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Solution

The fourth proportional to 20,853.75, 28,780.95 and 11,899.20 is: 16,422.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,853.75 : 28,780.95 = 11,899.20 : x
  2. Step 2: Convert to fraction form
    20,853.75/28,780.95 = 11,899.20/x
  3. Step 3: Cross multiply
    20,853.75x = 28,780.95 × 11,899.20
  4. Step 4: Simplify right side
    20,853.75x = 342,470,280.24
  5. Step 5: Solve for x
    x = 342,470,280.24/20,853.75
  6. Step 6: Final answer
    x = 16,422.48

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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.