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Finding the Fourth Proportional to 22,603.50, 33,912.36 and 10,134

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Solution

The fourth proportional to 22,603.50, 33,912.36 and 10,134 is: 15,204.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,603.50 : 33,912.36 = 10,134 : x
  2. Step 2: Convert to fraction form
    22,603.50/33,912.36 = 10,134/x
  3. Step 3: Cross multiply
    22,603.50x = 33,912.36 × 10,134
  4. Step 4: Simplify right side
    22,603.50x = 343,667,856.24
  5. Step 5: Solve for x
    x = 343,667,856.24/22,603.50
  6. Step 6: Final answer
    x = 15,204.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.