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Finding the Fourth Proportional to 20,199.50, 27,880.22 and 11,700.25

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Solution

The fourth proportional to 20,199.50, 27,880.22 and 11,700.25 is: 16,149.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,199.50 : 27,880.22 = 11,700.25 : x
  2. Step 2: Convert to fraction form
    20,199.50/27,880.22 = 11,700.25/x
  3. Step 3: Cross multiply
    20,199.50x = 27,880.22 × 11,700.25
  4. Step 4: Simplify right side
    20,199.50x = 326,205,437.79
  5. Step 5: Solve for x
    x = 326,205,437.79/20,199.50
  6. Step 6: Final answer
    x = 16,149.18

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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.