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Finding the Fourth Proportional to 22,692.38, 34,015.34 and 7,889.16

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Solution

The fourth proportional to 22,692.38, 34,015.34 and 7,889.16 is: 11,825.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,692.38 : 34,015.34 = 7,889.16 : x
  2. Step 2: Convert to fraction form
    22,692.38/34,015.34 = 7,889.16/x
  3. Step 3: Cross multiply
    22,692.38x = 34,015.34 × 7,889.16
  4. Step 4: Simplify right side
    22,692.38x = 268,352,459.71
  5. Step 5: Solve for x
    x = 268,352,459.71/22,692.38
  6. Step 6: Final answer
    x = 11,825.66

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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.