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Finding the Fourth Proportional to 27,977.67, 41,909.81 and 12,963.65

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Solution

The fourth proportional to 27,977.67, 41,909.81 and 12,963.65 is: 19,419.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,977.67 : 41,909.81 = 12,963.65 : x
  2. Step 2: Convert to fraction form
    27,977.67/41,909.81 = 12,963.65/x
  3. Step 3: Cross multiply
    27,977.67x = 41,909.81 × 12,963.65
  4. Step 4: Simplify right side
    27,977.67x = 543,303,834.04
  5. Step 5: Solve for x
    x = 543,303,834.04/27,977.67
  6. Step 6: Final answer
    x = 19,419.20

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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.