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Finding the Fourth Proportional to 18,206.02, 27,309.02 and 10,409.37

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Solution

The fourth proportional to 18,206.02, 27,309.02 and 10,409.37 is: 15,614.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,206.02 : 27,309.02 = 10,409.37 : x
  2. Step 2: Convert to fraction form
    18,206.02/27,309.02 = 10,409.37/x
  3. Step 3: Cross multiply
    18,206.02x = 27,309.02 × 10,409.37
  4. Step 4: Simplify right side
    18,206.02x = 284,269,693.52
  5. Step 5: Solve for x
    x = 284,269,693.52/18,206.02
  6. Step 6: Final answer
    x = 15,614.05

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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.