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Finding the Fourth Proportional to 22,322.41, 33,484.12 and 5,682.38

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Solution

The fourth proportional to 22,322.41, 33,484.12 and 5,682.38 is: 8,523.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,322.41 : 33,484.12 = 5,682.38 : x
  2. Step 2: Convert to fraction form
    22,322.41/33,484.12 = 5,682.38/x
  3. Step 3: Cross multiply
    22,322.41x = 33,484.12 × 5,682.38
  4. Step 4: Simplify right side
    22,322.41x = 190,269,493.81
  5. Step 5: Solve for x
    x = 190,269,493.81/22,322.41
  6. Step 6: Final answer
    x = 8,523.70

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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.