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Finding the Fourth Proportional to 22,493.61, 33,745.10 and 11,254.77

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Solution

The fourth proportional to 22,493.61, 33,745.10 and 11,254.77 is: 16,884.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,493.61 : 33,745.10 = 11,254.77 : x
  2. Step 2: Convert to fraction form
    22,493.61/33,745.10 = 11,254.77/x
  3. Step 3: Cross multiply
    22,493.61x = 33,745.10 × 11,254.77
  4. Step 4: Simplify right side
    22,493.61x = 379,793,282.85
  5. Step 5: Solve for x
    x = 379,793,282.85/22,493.61
  6. Step 6: Final answer
    x = 16,884.50

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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.