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Finding the Fourth Proportional to 22,588.36, 33,838.79 and 10,909.78

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Solution

The fourth proportional to 22,588.36, 33,838.79 and 10,909.78 is: 16,343.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,588.36 : 33,838.79 = 10,909.78 : x
  2. Step 2: Convert to fraction form
    22,588.36/33,838.79 = 10,909.78/x
  3. Step 3: Cross multiply
    22,588.36x = 33,838.79 × 10,909.78
  4. Step 4: Simplify right side
    22,588.36x = 369,173,754.37
  5. Step 5: Solve for x
    x = 369,173,754.37/22,588.36
  6. Step 6: Final answer
    x = 16,343.54

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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.