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Finding the Fourth Proportional to 21,741.20, 32,681.40 and 20,200.40

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Solution

The fourth proportional to 21,741.20, 32,681.40 and 20,200.40 is: 30,365.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,741.20 : 32,681.40 = 20,200.40 : x
  2. Step 2: Convert to fraction form
    21,741.20/32,681.40 = 20,200.40/x
  3. Step 3: Cross multiply
    21,741.20x = 32,681.40 × 20,200.40
  4. Step 4: Simplify right side
    21,741.20x = 660,177,352.56
  5. Step 5: Solve for x
    x = 660,177,352.56/21,741.20
  6. Step 6: Final answer
    x = 30,365.27

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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.