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Finding the Fourth Proportional to 20,287.92, 30,437.20 and 7,138.32

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Solution

The fourth proportional to 20,287.92, 30,437.20 and 7,138.32 is: 10,709.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,287.92 : 30,437.20 = 7,138.32 : x
  2. Step 2: Convert to fraction form
    20,287.92/30,437.20 = 7,138.32/x
  3. Step 3: Cross multiply
    20,287.92x = 30,437.20 × 7,138.32
  4. Step 4: Simplify right side
    20,287.92x = 217,270,473.50
  5. Step 5: Solve for x
    x = 217,270,473.50/20,287.92
  6. Step 6: Final answer
    x = 10,709.35

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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.