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Finding the Fourth Proportional to 18,209.46, 27,314.10 and 10,412.76

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Solution

The fourth proportional to 18,209.46, 27,314.10 and 10,412.76 is: 15,619.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,209.46 : 27,314.10 = 10,412.76 : x
  2. Step 2: Convert to fraction form
    18,209.46/27,314.10 = 10,412.76/x
  3. Step 3: Cross multiply
    18,209.46x = 27,314.10 × 10,412.76
  4. Step 4: Simplify right side
    18,209.46x = 284,415,167.92
  5. Step 5: Solve for x
    x = 284,415,167.92/18,209.46
  6. Step 6: Final answer
    x = 15,619.09

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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.