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Finding the Fourth Proportional to 12,823.92, 19,253.77 and 6,589.22

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Solution

The fourth proportional to 12,823.92, 19,253.77 and 6,589.22 is: 9,893.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,823.92 : 19,253.77 = 6,589.22 : x
  2. Step 2: Convert to fraction form
    12,823.92/19,253.77 = 6,589.22/x
  3. Step 3: Cross multiply
    12,823.92x = 19,253.77 × 6,589.22
  4. Step 4: Simplify right side
    12,823.92x = 126,867,213.62
  5. Step 5: Solve for x
    x = 126,867,213.62/12,823.92
  6. Step 6: Final answer
    x = 9,893.01

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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.