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Finding the Fourth Proportional to 20,678.20, 30,983.10 and 11,897.80

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Solution

The fourth proportional to 20,678.20, 30,983.10 and 11,897.80 is: 17,827.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,678.20 : 30,983.10 = 11,897.80 : x
  2. Step 2: Convert to fraction form
    20,678.20/30,983.10 = 11,897.80/x
  3. Step 3: Cross multiply
    20,678.20x = 30,983.10 × 11,897.80
  4. Step 4: Simplify right side
    20,678.20x = 368,630,727.18
  5. Step 5: Solve for x
    x = 368,630,727.18/20,678.20
  6. Step 6: Final answer
    x = 17,827.02

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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.