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Finding the Fourth Proportional to 18,270.12, 27,417.24 and 8,409

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Solution

The fourth proportional to 18,270.12, 27,417.24 and 8,409 is: 12,619.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,270.12 : 27,417.24 = 8,409 : x
  2. Step 2: Convert to fraction form
    18,270.12/27,417.24 = 8,409/x
  3. Step 3: Cross multiply
    18,270.12x = 27,417.24 × 8,409
  4. Step 4: Simplify right side
    18,270.12x = 230,551,571.16
  5. Step 5: Solve for x
    x = 230,551,571.16/18,270.12
  6. Step 6: Final answer
    x = 12,619.05

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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.