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Finding the Fourth Proportional to 21,891.49, 32,833.97 and 6,094.87

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Solution

The fourth proportional to 21,891.49, 32,833.97 and 6,094.87 is: 9,141.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,891.49 : 32,833.97 = 6,094.87 : x
  2. Step 2: Convert to fraction form
    21,891.49/32,833.97 = 6,094.87/x
  3. Step 3: Cross multiply
    21,891.49x = 32,833.97 × 6,094.87
  4. Step 4: Simplify right side
    21,891.49x = 200,118,778.73
  5. Step 5: Solve for x
    x = 200,118,778.73/21,891.49
  6. Step 6: Final answer
    x = 9,141.40

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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.