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Finding the Fourth Proportional to 20,544.31, 30,811.02 and 9,445.33

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Solution

The fourth proportional to 20,544.31, 30,811.02 and 9,445.33 is: 14,165.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,544.31 : 30,811.02 = 9,445.33 : x
  2. Step 2: Convert to fraction form
    20,544.31/30,811.02 = 9,445.33/x
  3. Step 3: Cross multiply
    20,544.31x = 30,811.02 × 9,445.33
  4. Step 4: Simplify right side
    20,544.31x = 291,020,251.54
  5. Step 5: Solve for x
    x = 291,020,251.54/20,544.31
  6. Step 6: Final answer
    x = 14,165.49

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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.