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Finding the Fourth Proportional to 15,878.22, 21,912.96 and 9,164.13

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Solution

The fourth proportional to 15,878.22, 21,912.96 and 9,164.13 is: 12,647.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,878.22 : 21,912.96 = 9,164.13 : x
  2. Step 2: Convert to fraction form
    15,878.22/21,912.96 = 9,164.13/x
  3. Step 3: Cross multiply
    15,878.22x = 21,912.96 × 9,164.13
  4. Step 4: Simplify right side
    15,878.22x = 200,813,214.12
  5. Step 5: Solve for x
    x = 200,813,214.12/15,878.22
  6. Step 6: Final answer
    x = 12,647.09

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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.