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Finding the Fourth Proportional to 22,369.29, 33,529.33 and 9,214.49

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Solution

The fourth proportional to 22,369.29, 33,529.33 and 9,214.49 is: 13,811.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,369.29 : 33,529.33 = 9,214.49 : x
  2. Step 2: Convert to fraction form
    22,369.29/33,529.33 = 9,214.49/x
  3. Step 3: Cross multiply
    22,369.29x = 33,529.33 × 9,214.49
  4. Step 4: Simplify right side
    22,369.29x = 308,955,508.35
  5. Step 5: Solve for x
    x = 308,955,508.35/22,369.29
  6. Step 6: Final answer
    x = 13,811.59

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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.