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Finding the Fourth Proportional to 20,202.50, 30,304.24 and 6,875.47

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Solution

The fourth proportional to 20,202.50, 30,304.24 and 6,875.47 is: 10,313.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,202.50 : 30,304.24 = 6,875.47 : x
  2. Step 2: Convert to fraction form
    20,202.50/30,304.24 = 6,875.47/x
  3. Step 3: Cross multiply
    20,202.50x = 30,304.24 × 6,875.47
  4. Step 4: Simplify right side
    20,202.50x = 208,355,952.36
  5. Step 5: Solve for x
    x = 208,355,952.36/20,202.50
  6. Step 6: Final answer
    x = 10,313.37

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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.