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Finding the Fourth Proportional to 11,874.47, 17,811.70 and 6,617.43

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Solution

The fourth proportional to 11,874.47, 17,811.70 and 6,617.43 is: 9,926.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,874.47 : 17,811.70 = 6,617.43 : x
  2. Step 2: Convert to fraction form
    11,874.47/17,811.70 = 6,617.43/x
  3. Step 3: Cross multiply
    11,874.47x = 17,811.70 × 6,617.43
  4. Step 4: Simplify right side
    11,874.47x = 117,867,661.39
  5. Step 5: Solve for x
    x = 117,867,661.39/11,874.47
  6. Step 6: Final answer
    x = 9,926.15

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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.