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Finding the Fourth Proportional to 15,998.72, 22,078.40 and 9,284.80

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Solution

The fourth proportional to 15,998.72, 22,078.40 and 9,284.80 is: 12,813.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,998.72 : 22,078.40 = 9,284.80 : x
  2. Step 2: Convert to fraction form
    15,998.72/22,078.40 = 9,284.80/x
  3. Step 3: Cross multiply
    15,998.72x = 22,078.40 × 9,284.80
  4. Step 4: Simplify right side
    15,998.72x = 204,993,528.32
  5. Step 5: Solve for x
    x = 204,993,528.32/15,998.72
  6. Step 6: Final answer
    x = 12,813.12

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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.