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Finding the Fourth Proportional to 27,439.72, 41,154.78 and 7,713.59

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Solution

The fourth proportional to 27,439.72, 41,154.78 and 7,713.59 is: 11,569.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,439.72 : 41,154.78 = 7,713.59 : x
  2. Step 2: Convert to fraction form
    27,439.72/41,154.78 = 7,713.59/x
  3. Step 3: Cross multiply
    27,439.72x = 41,154.78 × 7,713.59
  4. Step 4: Simplify right side
    27,439.72x = 317,450,855.12
  5. Step 5: Solve for x
    x = 317,450,855.12/27,439.72
  6. Step 6: Final answer
    x = 11,569.03

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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.