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Finding the Fourth Proportional to 22,310.83, 33,465.33 and 9,162.86

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Solution

The fourth proportional to 22,310.83, 33,465.33 and 9,162.86 is: 13,743.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,310.83 : 33,465.33 = 9,162.86 : x
  2. Step 2: Convert to fraction form
    22,310.83/33,465.33 = 9,162.86/x
  3. Step 3: Cross multiply
    22,310.83x = 33,465.33 × 9,162.86
  4. Step 4: Simplify right side
    22,310.83x = 306,638,133.64
  5. Step 5: Solve for x
    x = 306,638,133.64/22,310.83
  6. Step 6: Final answer
    x = 13,743.91

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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.