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Finding the Fourth Proportional to 13,101.66, 19,677.60 and 11,231.78

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Solution

The fourth proportional to 13,101.66, 19,677.60 and 11,231.78 is: 16,869.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,101.66 : 19,677.60 = 11,231.78 : x
  2. Step 2: Convert to fraction form
    13,101.66/19,677.60 = 11,231.78/x
  3. Step 3: Cross multiply
    13,101.66x = 19,677.60 × 11,231.78
  4. Step 4: Simplify right side
    13,101.66x = 221,014,375.74
  5. Step 5: Solve for x
    x = 221,014,375.74/13,101.66
  6. Step 6: Final answer
    x = 16,869.19

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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.