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Finding the Fourth Proportional to 20,121.40, 30,036.29 and 18,809.20

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Solution

The fourth proportional to 20,121.40, 30,036.29 and 18,809.20 is: 28,077.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,121.40 : 30,036.29 = 18,809.20 : x
  2. Step 2: Convert to fraction form
    20,121.40/30,036.29 = 18,809.20/x
  3. Step 3: Cross multiply
    20,121.40x = 30,036.29 × 18,809.20
  4. Step 4: Simplify right side
    20,121.40x = 564,958,585.87
  5. Step 5: Solve for x
    x = 564,958,585.87/20,121.40
  6. Step 6: Final answer
    x = 28,077.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.