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Finding the Fourth Proportional to 22,144.86, 33,206.36 and 9,659.48

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Solution

The fourth proportional to 22,144.86, 33,206.36 and 9,659.48 is: 14,484.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,144.86 : 33,206.36 = 9,659.48 : x
  2. Step 2: Convert to fraction form
    22,144.86/33,206.36 = 9,659.48/x
  3. Step 3: Cross multiply
    22,144.86x = 33,206.36 × 9,659.48
  4. Step 4: Simplify right side
    22,144.86x = 320,756,170.29
  5. Step 5: Solve for x
    x = 320,756,170.29/22,144.86
  6. Step 6: Final answer
    x = 14,484.45

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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.