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Finding the Fourth Proportional to 13,983.93, 20,975.94 and 9,588.06

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Solution

The fourth proportional to 13,983.93, 20,975.94 and 9,588.06 is: 14,382.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,983.93 : 20,975.94 = 9,588.06 : x
  2. Step 2: Convert to fraction form
    13,983.93/20,975.94 = 9,588.06/x
  3. Step 3: Cross multiply
    13,983.93x = 20,975.94 × 9,588.06
  4. Step 4: Simplify right side
    13,983.93x = 201,118,571.28
  5. Step 5: Solve for x
    x = 201,118,571.28/13,983.93
  6. Step 6: Final answer
    x = 14,382.12

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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.