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Finding the Fourth Proportional to 18,505.68, 27,757.90 and 7,409.40

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Solution

The fourth proportional to 18,505.68, 27,757.90 and 7,409.40 is: 11,113.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,505.68 : 27,757.90 = 7,409.40 : x
  2. Step 2: Convert to fraction form
    18,505.68/27,757.90 = 7,409.40/x
  3. Step 3: Cross multiply
    18,505.68x = 27,757.90 × 7,409.40
  4. Step 4: Simplify right side
    18,505.68x = 205,669,384.26
  5. Step 5: Solve for x
    x = 205,669,384.26/18,505.68
  6. Step 6: Final answer
    x = 11,113.85

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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.