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Finding the Fourth Proportional to 11,945.71, 17,916.24 and 11,353.02

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Solution

The fourth proportional to 11,945.71, 17,916.24 and 11,353.02 is: 17,027.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,945.71 : 17,916.24 = 11,353.02 : x
  2. Step 2: Convert to fraction form
    11,945.71/17,916.24 = 11,353.02/x
  3. Step 3: Cross multiply
    11,945.71x = 17,916.24 × 11,353.02
  4. Step 4: Simplify right side
    11,945.71x = 203,403,431.04
  5. Step 5: Solve for x
    x = 203,403,431.04/11,945.71
  6. Step 6: Final answer
    x = 17,027.32

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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.