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Finding the Fourth Proportional to 20,877.62, 31,308.67 and 9,033.11

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Solution

The fourth proportional to 20,877.62, 31,308.67 and 9,033.11 is: 13,546.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,877.62 : 31,308.67 = 9,033.11 : x
  2. Step 2: Convert to fraction form
    20,877.62/31,308.67 = 9,033.11/x
  3. Step 3: Cross multiply
    20,877.62x = 31,308.67 × 9,033.11
  4. Step 4: Simplify right side
    20,877.62x = 282,814,660.06
  5. Step 5: Solve for x
    x = 282,814,660.06/20,877.62
  6. Step 6: Final answer
    x = 13,546.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.