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Finding the Fourth Proportional to 22,431.86, 33,647.60 and 5,790.46

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Solution

The fourth proportional to 22,431.86, 33,647.60 and 5,790.46 is: 8,685.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,431.86 : 33,647.60 = 5,790.46 : x
  2. Step 2: Convert to fraction form
    22,431.86/33,647.60 = 5,790.46/x
  3. Step 3: Cross multiply
    22,431.86x = 33,647.60 × 5,790.46
  4. Step 4: Simplify right side
    22,431.86x = 194,835,081.90
  5. Step 5: Solve for x
    x = 194,835,081.90/22,431.86
  6. Step 6: Final answer
    x = 8,685.64

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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.