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Finding the Fourth Proportional to 15,883.26, 21,917.32 and 9,171.05

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Solution

The fourth proportional to 15,883.26, 21,917.32 and 9,171.05 is: 12,655.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,883.26 : 21,917.32 = 9,171.05 : x
  2. Step 2: Convert to fraction form
    15,883.26/21,917.32 = 9,171.05/x
  3. Step 3: Cross multiply
    15,883.26x = 21,917.32 × 9,171.05
  4. Step 4: Simplify right side
    15,883.26x = 201,004,837.59
  5. Step 5: Solve for x
    x = 201,004,837.59/15,883.26
  6. Step 6: Final answer
    x = 12,655.14

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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.