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Finding the Fourth Proportional to 20,203.20, 30,304.80 and 13,982.40

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Solution

The fourth proportional to 20,203.20, 30,304.80 and 13,982.40 is: 20,973.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,203.20 : 30,304.80 = 13,982.40 : x
  2. Step 2: Convert to fraction form
    20,203.20/30,304.80 = 13,982.40/x
  3. Step 3: Cross multiply
    20,203.20x = 30,304.80 × 13,982.40
  4. Step 4: Simplify right side
    20,203.20x = 423,733,835.52
  5. Step 5: Solve for x
    x = 423,733,835.52/20,203.20
  6. Step 6: Final answer
    x = 20,973.60

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Similar ratio
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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.