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Finding the Fourth Proportional to 22,265.52, 33,415.20 and 8,238.82

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Solution

The fourth proportional to 22,265.52, 33,415.20 and 8,238.82 is: 12,364.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,265.52 : 33,415.20 = 8,238.82 : x
  2. Step 2: Convert to fraction form
    22,265.52/33,415.20 = 8,238.82/x
  3. Step 3: Cross multiply
    22,265.52x = 33,415.20 × 8,238.82
  4. Step 4: Simplify right side
    22,265.52x = 275,301,818.06
  5. Step 5: Solve for x
    x = 275,301,818.06/22,265.52
  6. Step 6: Final answer
    x = 12,364.49

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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.