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Finding the Fourth Proportional to 22,599.33, 33,874.47 and 10,102.14

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Solution

The fourth proportional to 22,599.33, 33,874.47 and 10,102.14 is: 15,142.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,599.33 : 33,874.47 = 10,102.14 : x
  2. Step 2: Convert to fraction form
    22,599.33/33,874.47 = 10,102.14/x
  3. Step 3: Cross multiply
    22,599.33x = 33,874.47 × 10,102.14
  4. Step 4: Simplify right side
    22,599.33x = 342,204,638.37
  5. Step 5: Solve for x
    x = 342,204,638.37/22,599.33
  6. Step 6: Final answer
    x = 15,142.25

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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.