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Finding the Fourth Proportional to 22,538.82, 33,823.35 and 8,511.78

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Solution

The fourth proportional to 22,538.82, 33,823.35 and 8,511.78 is: 12,773.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,538.82 : 33,823.35 = 8,511.78 : x
  2. Step 2: Convert to fraction form
    22,538.82/33,823.35 = 8,511.78/x
  3. Step 3: Cross multiply
    22,538.82x = 33,823.35 × 8,511.78
  4. Step 4: Simplify right side
    22,538.82x = 287,896,914.06
  5. Step 5: Solve for x
    x = 287,896,914.06/22,538.82
  6. Step 6: Final answer
    x = 12,773.38

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1.5x scale

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.