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Finding the Fourth Proportional to 11,932.74, 17,916.03 and 8,662.14

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Solution

The fourth proportional to 11,932.74, 17,916.03 and 8,662.14 is: 13,005.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,932.74 : 17,916.03 = 8,662.14 : x
  2. Step 2: Convert to fraction form
    11,932.74/17,916.03 = 8,662.14/x
  3. Step 3: Cross multiply
    11,932.74x = 17,916.03 × 8,662.14
  4. Step 4: Simplify right side
    11,932.74x = 155,191,160.10
  5. Step 5: Solve for x
    x = 155,191,160.10/11,932.74
  6. Step 6: Final answer
    x = 13,005.49

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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.