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Finding the Fourth Proportional to 22,326.40, 33,468 and 8,282.44

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Solution

The fourth proportional to 22,326.40, 33,468 and 8,282.44 is: 12,415.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,326.40 : 33,468 = 8,282.44 : x
  2. Step 2: Convert to fraction form
    22,326.40/33,468 = 8,282.44/x
  3. Step 3: Cross multiply
    22,326.40x = 33,468 × 8,282.44
  4. Step 4: Simplify right side
    22,326.40x = 277,196,701.92
  5. Step 5: Solve for x
    x = 277,196,701.92/22,326.40
  6. Step 6: Final answer
    x = 12,415.65

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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.