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Finding the Fourth Proportional to 18,206.46, 27,309.60 and 10,409.76

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Solution

The fourth proportional to 18,206.46, 27,309.60 and 10,409.76 is: 15,614.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,206.46 : 27,309.60 = 10,409.76 : x
  2. Step 2: Convert to fraction form
    18,206.46/27,309.60 = 10,409.76/x
  3. Step 3: Cross multiply
    18,206.46x = 27,309.60 × 10,409.76
  4. Step 4: Simplify right side
    18,206.46x = 284,286,381.70
  5. Step 5: Solve for x
    x = 284,286,381.70/18,206.46
  6. Step 6: Final answer
    x = 15,614.59

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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.