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Finding the Fourth Proportional to 13,727.16, 20,600.46 and 9,834.84

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Solution

The fourth proportional to 13,727.16, 20,600.46 and 9,834.84 is: 14,759.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,727.16 : 20,600.46 = 9,834.84 : x
  2. Step 2: Convert to fraction form
    13,727.16/20,600.46 = 9,834.84/x
  3. Step 3: Cross multiply
    13,727.16x = 20,600.46 × 9,834.84
  4. Step 4: Simplify right side
    13,727.16x = 202,602,228.03
  5. Step 5: Solve for x
    x = 202,602,228.03/13,727.16
  6. Step 6: Final answer
    x = 14,759.22

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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.