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Finding the Fourth Proportional to 22,205.76, 33,317.28 and 8,364.48

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Solution

The fourth proportional to 22,205.76, 33,317.28 and 8,364.48 is: 12,549.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,205.76 : 33,317.28 = 8,364.48 : x
  2. Step 2: Convert to fraction form
    22,205.76/33,317.28 = 8,364.48/x
  3. Step 3: Cross multiply
    22,205.76x = 33,317.28 × 8,364.48
  4. Step 4: Simplify right side
    22,205.76x = 278,681,722.21
  5. Step 5: Solve for x
    x = 278,681,722.21/22,205.76
  6. Step 6: Final answer
    x = 12,549.97

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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.