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Finding the Fourth Proportional to 27,186.40, 40,769.81 and 9,412.23

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Solution

The fourth proportional to 27,186.40, 40,769.81 and 9,412.23 is: 14,114.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,186.40 : 40,769.81 = 9,412.23 : x
  2. Step 2: Convert to fraction form
    27,186.40/40,769.81 = 9,412.23/x
  3. Step 3: Cross multiply
    27,186.40x = 40,769.81 × 9,412.23
  4. Step 4: Simplify right side
    27,186.40x = 383,734,828.78
  5. Step 5: Solve for x
    x = 383,734,828.78/27,186.40
  6. Step 6: Final answer
    x = 14,114.96

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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.