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Finding the Fourth Proportional to 22,298.13, 33,447.21 and 5,659.41

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Solution

The fourth proportional to 22,298.13, 33,447.21 and 5,659.41 is: 8,489.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,298.13 : 33,447.21 = 5,659.41 : x
  2. Step 2: Convert to fraction form
    22,298.13/33,447.21 = 5,659.41/x
  3. Step 3: Cross multiply
    22,298.13x = 33,447.21 × 5,659.41
  4. Step 4: Simplify right side
    22,298.13x = 189,291,474.75
  5. Step 5: Solve for x
    x = 189,291,474.75/22,298.13
  6. Step 6: Final answer
    x = 8,489.12

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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.