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Finding the Fourth Proportional to 11,621.14, 17,431.47 and 7,874.68

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Solution

The fourth proportional to 11,621.14, 17,431.47 and 7,874.68 is: 11,811.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,621.14 : 17,431.47 = 7,874.68 : x
  2. Step 2: Convert to fraction form
    11,621.14/17,431.47 = 7,874.68/x
  3. Step 3: Cross multiply
    11,621.14x = 17,431.47 × 7,874.68
  4. Step 4: Simplify right side
    11,621.14x = 137,267,248.18
  5. Step 5: Solve for x
    x = 137,267,248.18/11,621.14
  6. Step 6: Final answer
    x = 11,811.86

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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.