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Finding the Fourth Proportional to 22,362.38, 33,558.91 and 9,214.66

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Solution

The fourth proportional to 22,362.38, 33,558.91 and 9,214.66 is: 13,828.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,362.38 : 33,558.91 = 9,214.66 : x
  2. Step 2: Convert to fraction form
    22,362.38/33,558.91 = 9,214.66/x
  3. Step 3: Cross multiply
    22,362.38x = 33,558.91 × 9,214.66
  4. Step 4: Simplify right side
    22,362.38x = 309,233,964.53
  5. Step 5: Solve for x
    x = 309,233,964.53/22,362.38
  6. Step 6: Final answer
    x = 13,828.31

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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.