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Finding the Fourth Proportional to 22,015, 33,023.70 and 8,865.66

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Solution

The fourth proportional to 22,015, 33,023.70 and 8,865.66 is: 13,298.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,015 : 33,023.70 = 8,865.66 : x
  2. Step 2: Convert to fraction form
    22,015/33,023.70 = 8,865.66/x
  3. Step 3: Cross multiply
    22,015x = 33,023.70 × 8,865.66
  4. Step 4: Simplify right side
    22,015x = 292,776,896.14
  5. Step 5: Solve for x
    x = 292,776,896.14/22,015
  6. Step 6: Final answer
    x = 13,298.97

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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.