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Finding the Fourth Proportional to 22,136.31, 33,210.36 and 9,657.33

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Solution

The fourth proportional to 22,136.31, 33,210.36 and 9,657.33 is: 14,488.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,136.31 : 33,210.36 = 9,657.33 : x
  2. Step 2: Convert to fraction form
    22,136.31/33,210.36 = 9,657.33/x
  3. Step 3: Cross multiply
    22,136.31x = 33,210.36 × 9,657.33
  4. Step 4: Simplify right side
    22,136.31x = 320,723,405.94
  5. Step 5: Solve for x
    x = 320,723,405.94/22,136.31
  6. Step 6: Final answer
    x = 14,488.57

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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.