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Finding the Fourth Proportional to 22,459.93, 33,692.97 and 7,664.87

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Solution

The fourth proportional to 22,459.93, 33,692.97 and 7,664.87 is: 11,498.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,459.93 : 33,692.97 = 7,664.87 : x
  2. Step 2: Convert to fraction form
    22,459.93/33,692.97 = 7,664.87/x
  3. Step 3: Cross multiply
    22,459.93x = 33,692.97 × 7,664.87
  4. Step 4: Simplify right side
    22,459.93x = 258,252,234.96
  5. Step 5: Solve for x
    x = 258,252,234.96/22,459.93
  6. Step 6: Final answer
    x = 11,498.36

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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.