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Finding the Fourth Proportional to 22,436.37, 33,642.14 and 10,415.43

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Solution

The fourth proportional to 22,436.37, 33,642.14 and 10,415.43 is: 15,617.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,436.37 : 33,642.14 = 10,415.43 : x
  2. Step 2: Convert to fraction form
    22,436.37/33,642.14 = 10,415.43/x
  3. Step 3: Cross multiply
    22,436.37x = 33,642.14 × 10,415.43
  4. Step 4: Simplify right side
    22,436.37x = 350,397,302.14
  5. Step 5: Solve for x
    x = 350,397,302.14/22,436.37
  6. Step 6: Final answer
    x = 15,617.38

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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.