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Finding the Fourth Proportional to 22,616.54, 33,914 and 10,136.66

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Solution

The fourth proportional to 22,616.54, 33,914 and 10,136.66 is: 15,200.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,616.54 : 33,914 = 10,136.66 : x
  2. Step 2: Convert to fraction form
    22,616.54/33,914 = 10,136.66/x
  3. Step 3: Cross multiply
    22,616.54x = 33,914 × 10,136.66
  4. Step 4: Simplify right side
    22,616.54x = 343,774,687.24
  5. Step 5: Solve for x
    x = 343,774,687.24/22,616.54
  6. Step 6: Final answer
    x = 15,200.14

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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.