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Finding the Fourth Proportional to 13,711.33, 18,914.20 and 8,666.11

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Solution

The fourth proportional to 13,711.33, 18,914.20 and 8,666.11 is: 11,954.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,711.33 : 18,914.20 = 8,666.11 : x
  2. Step 2: Convert to fraction form
    13,711.33/18,914.20 = 8,666.11/x
  3. Step 3: Cross multiply
    13,711.33x = 18,914.20 × 8,666.11
  4. Step 4: Simplify right side
    13,711.33x = 163,912,537.76
  5. Step 5: Solve for x
    x = 163,912,537.76/13,711.33
  6. Step 6: Final answer
    x = 11,954.53

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.