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Finding the Fourth Proportional to 22,349.32, 33,523.42 and 5,709.48

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Solution

The fourth proportional to 22,349.32, 33,523.42 and 5,709.48 is: 8,564.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,349.32 : 33,523.42 = 5,709.48 : x
  2. Step 2: Convert to fraction form
    22,349.32/33,523.42 = 5,709.48/x
  3. Step 3: Cross multiply
    22,349.32x = 33,523.42 × 5,709.48
  4. Step 4: Simplify right side
    22,349.32x = 191,401,296.02
  5. Step 5: Solve for x
    x = 191,401,296.02/22,349.32
  6. Step 6: Final answer
    x = 8,564.08

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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.