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Finding the Fourth Proportional to 20,164.80, 30,232.80 and 11,402.40

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Solution

The fourth proportional to 20,164.80, 30,232.80 and 11,402.40 is: 17,095.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,164.80 : 30,232.80 = 11,402.40 : x
  2. Step 2: Convert to fraction form
    20,164.80/30,232.80 = 11,402.40/x
  3. Step 3: Cross multiply
    20,164.80x = 30,232.80 × 11,402.40
  4. Step 4: Simplify right side
    20,164.80x = 344,726,478.72
  5. Step 5: Solve for x
    x = 344,726,478.72/20,164.80
  6. Step 6: Final answer
    x = 17,095.46

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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.