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Finding the Fourth Proportional to 27,735.65, 41,605.56 and 8,014.35

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Solution

The fourth proportional to 27,735.65, 41,605.56 and 8,014.35 is: 12,022.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,735.65 : 41,605.56 = 8,014.35 : x
  2. Step 2: Convert to fraction form
    27,735.65/41,605.56 = 8,014.35/x
  3. Step 3: Cross multiply
    27,735.65x = 41,605.56 × 8,014.35
  4. Step 4: Simplify right side
    27,735.65x = 333,441,519.79
  5. Step 5: Solve for x
    x = 333,441,519.79/27,735.65
  6. Step 6: Final answer
    x = 12,022.13

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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.