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Finding the Fourth Proportional to 20,570.80, 30,856.20 and 10,202.80

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Solution

The fourth proportional to 20,570.80, 30,856.20 and 10,202.80 is: 15,304.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,570.80 : 30,856.20 = 10,202.80 : x
  2. Step 2: Convert to fraction form
    20,570.80/30,856.20 = 10,202.80/x
  3. Step 3: Cross multiply
    20,570.80x = 30,856.20 × 10,202.80
  4. Step 4: Simplify right side
    20,570.80x = 314,819,637.36
  5. Step 5: Solve for x
    x = 314,819,637.36/20,570.80
  6. Step 6: Final answer
    x = 15,304.20

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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.