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Finding the Fourth Proportional to 11,701.89, 17,543.12 and 8,181.83

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Solution

The fourth proportional to 11,701.89, 17,543.12 and 8,181.83 is: 12,265.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,701.89 : 17,543.12 = 8,181.83 : x
  2. Step 2: Convert to fraction form
    11,701.89/17,543.12 = 8,181.83/x
  3. Step 3: Cross multiply
    11,701.89x = 17,543.12 × 8,181.83
  4. Step 4: Simplify right side
    11,701.89x = 143,534,828.46
  5. Step 5: Solve for x
    x = 143,534,828.46/11,701.89
  6. Step 6: Final answer
    x = 12,265.95

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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.