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Finding the Fourth Proportional to 22,371.76, 33,559.26 and 6,789.34

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Solution

The fourth proportional to 22,371.76, 33,559.26 and 6,789.34 is: 10,184.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,371.76 : 33,559.26 = 6,789.34 : x
  2. Step 2: Convert to fraction form
    22,371.76/33,559.26 = 6,789.34/x
  3. Step 3: Cross multiply
    22,371.76x = 33,559.26 × 6,789.34
  4. Step 4: Simplify right side
    22,371.76x = 227,845,226.29
  5. Step 5: Solve for x
    x = 227,845,226.29/22,371.76
  6. Step 6: Final answer
    x = 10,184.50

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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.