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Finding the Fourth Proportional to 12,205.80, 18,308.70 and 10,780.20

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Solution

The fourth proportional to 12,205.80, 18,308.70 and 10,780.20 is: 16,170.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,205.80 : 18,308.70 = 10,780.20 : x
  2. Step 2: Convert to fraction form
    12,205.80/18,308.70 = 10,780.20/x
  3. Step 3: Cross multiply
    12,205.80x = 18,308.70 × 10,780.20
  4. Step 4: Simplify right side
    12,205.80x = 197,371,447.74
  5. Step 5: Solve for x
    x = 197,371,447.74/12,205.80
  6. Step 6: Final answer
    x = 16,170.30

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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.