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Finding the Fourth Proportional to 13,984.52, 20,976.75 and 9,588.65

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Solution

The fourth proportional to 13,984.52, 20,976.75 and 9,588.65 is: 14,382.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,984.52 : 20,976.75 = 9,588.65 : x
  2. Step 2: Convert to fraction form
    13,984.52/20,976.75 = 9,588.65/x
  3. Step 3: Cross multiply
    13,984.52x = 20,976.75 × 9,588.65
  4. Step 4: Simplify right side
    13,984.52x = 201,138,609.00
  5. Step 5: Solve for x
    x = 201,138,609.00/13,984.52
  6. Step 6: Final answer
    x = 14,382.95

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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.