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Finding the Fourth Proportional to 20,155.20, 30,232.80 and 11,407.20

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Solution

The fourth proportional to 20,155.20, 30,232.80 and 11,407.20 is: 17,110.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,155.20 : 30,232.80 = 11,407.20 : x
  2. Step 2: Convert to fraction form
    20,155.20/30,232.80 = 11,407.20/x
  3. Step 3: Cross multiply
    20,155.20x = 30,232.80 × 11,407.20
  4. Step 4: Simplify right side
    20,155.20x = 344,871,596.16
  5. Step 5: Solve for x
    x = 344,871,596.16/20,155.20
  6. Step 6: Final answer
    x = 17,110.80

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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.