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Finding the Fourth Proportional to 22,692.29, 34,043.69 and 7,698.61

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Solution

The fourth proportional to 22,692.29, 34,043.69 and 7,698.61 is: 11,549.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,692.29 : 34,043.69 = 7,698.61 : x
  2. Step 2: Convert to fraction form
    22,692.29/34,043.69 = 7,698.61/x
  3. Step 3: Cross multiply
    22,692.29x = 34,043.69 × 7,698.61
  4. Step 4: Simplify right side
    22,692.29x = 262,088,883.56
  5. Step 5: Solve for x
    x = 262,088,883.56/22,692.29
  6. Step 6: Final answer
    x = 11,549.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.