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Finding the Fourth Proportional to 22,470.58, 33,711.81 and 7,679.44

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Solution

The fourth proportional to 22,470.58, 33,711.81 and 7,679.44 is: 11,521.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,470.58 : 33,711.81 = 7,679.44 : x
  2. Step 2: Convert to fraction form
    22,470.58/33,711.81 = 7,679.44/x
  3. Step 3: Cross multiply
    22,470.58x = 33,711.81 × 7,679.44
  4. Step 4: Simplify right side
    22,470.58x = 258,887,822.19
  5. Step 5: Solve for x
    x = 258,887,822.19/22,470.58
  6. Step 6: Final answer
    x = 11,521.19

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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.