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Finding the Fourth Proportional to 22,544.15, 33,820.47 and 6,958.13

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Solution

The fourth proportional to 22,544.15, 33,820.47 and 6,958.13 is: 10,438.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,544.15 : 33,820.47 = 6,958.13 : x
  2. Step 2: Convert to fraction form
    22,544.15/33,820.47 = 6,958.13/x
  3. Step 3: Cross multiply
    22,544.15x = 33,820.47 × 6,958.13
  4. Step 4: Simplify right side
    22,544.15x = 235,327,057.82
  5. Step 5: Solve for x
    x = 235,327,057.82/22,544.15
  6. Step 6: Final answer
    x = 10,438.50

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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.