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Finding the Fourth Proportional to 20,731.80, 31,097.70 and 12,421.20

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Solution

The fourth proportional to 20,731.80, 31,097.70 and 12,421.20 is: 18,631.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,731.80 : 31,097.70 = 12,421.20 : x
  2. Step 2: Convert to fraction form
    20,731.80/31,097.70 = 12,421.20/x
  3. Step 3: Cross multiply
    20,731.80x = 31,097.70 × 12,421.20
  4. Step 4: Simplify right side
    20,731.80x = 386,270,751.24
  5. Step 5: Solve for x
    x = 386,270,751.24/20,731.80
  6. Step 6: Final answer
    x = 18,631.80

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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.