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Finding the Fourth Proportional to 22,035.29, 33,054 and 7,243.88

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Solution

The fourth proportional to 22,035.29, 33,054 and 7,243.88 is: 10,866.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,035.29 : 33,054 = 7,243.88 : x
  2. Step 2: Convert to fraction form
    22,035.29/33,054 = 7,243.88/x
  3. Step 3: Cross multiply
    22,035.29x = 33,054 × 7,243.88
  4. Step 4: Simplify right side
    22,035.29x = 239,439,044.25
  5. Step 5: Solve for x
    x = 239,439,044.25/22,035.29
  6. Step 6: Final answer
    x = 10,866.17

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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.