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Finding the Fourth Proportional to 22,369.49, 33,529.62 and 9,214.68

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Solution

The fourth proportional to 22,369.49, 33,529.62 and 9,214.68 is: 13,811.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,369.49 : 33,529.62 = 9,214.68 : x
  2. Step 2: Convert to fraction form
    22,369.49/33,529.62 = 9,214.68/x
  3. Step 3: Cross multiply
    22,369.49x = 33,529.62 × 9,214.68
  4. Step 4: Simplify right side
    22,369.49x = 308,964,718.82
  5. Step 5: Solve for x
    x = 308,964,718.82/22,369.49
  6. Step 6: Final answer
    x = 13,811.88

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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.