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Finding the Fourth Proportional to 22,284.43, 30,745.92 and 12,724

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Solution

The fourth proportional to 22,284.43, 30,745.92 and 12,724 is: 17,555.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,284.43 : 30,745.92 = 12,724 : x
  2. Step 2: Convert to fraction form
    22,284.43/30,745.92 = 12,724/x
  3. Step 3: Cross multiply
    22,284.43x = 30,745.92 × 12,724
  4. Step 4: Simplify right side
    22,284.43x = 391,211,086.08
  5. Step 5: Solve for x
    x = 391,211,086.08/22,284.43
  6. Step 6: Final answer
    x = 17,555.36

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.