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Finding the Fourth Proportional to 20,686.40, 31,029.60 and 8,209.40

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Solution

The fourth proportional to 20,686.40, 31,029.60 and 8,209.40 is: 12,314.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,686.40 : 31,029.60 = 8,209.40 : x
  2. Step 2: Convert to fraction form
    20,686.40/31,029.60 = 8,209.40/x
  3. Step 3: Cross multiply
    20,686.40x = 31,029.60 × 8,209.40
  4. Step 4: Simplify right side
    20,686.40x = 254,734,398.24
  5. Step 5: Solve for x
    x = 254,734,398.24/20,686.40
  6. Step 6: Final answer
    x = 12,314.10

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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.