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Finding the Fourth Proportional to 22,071.88, 33,107.81 and 6,489.50

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Solution

The fourth proportional to 22,071.88, 33,107.81 and 6,489.50 is: 9,734.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,071.88 : 33,107.81 = 6,489.50 : x
  2. Step 2: Convert to fraction form
    22,071.88/33,107.81 = 6,489.50/x
  3. Step 3: Cross multiply
    22,071.88x = 33,107.81 × 6,489.50
  4. Step 4: Simplify right side
    22,071.88x = 214,853,133.00
  5. Step 5: Solve for x
    x = 214,853,133.00/22,071.88
  6. Step 6: Final answer
    x = 9,734.25

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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.