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Finding the Fourth Proportional to 22,307.97, 33,442.11 and 8,466.69

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Solution

The fourth proportional to 22,307.97, 33,442.11 and 8,466.69 is: 12,692.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,307.97 : 33,442.11 = 8,466.69 : x
  2. Step 2: Convert to fraction form
    22,307.97/33,442.11 = 8,466.69/x
  3. Step 3: Cross multiply
    22,307.97x = 33,442.11 × 8,466.69
  4. Step 4: Simplify right side
    22,307.97x = 283,143,978.32
  5. Step 5: Solve for x
    x = 283,143,978.32/22,307.97
  6. Step 6: Final answer
    x = 12,692.50

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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.