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Finding the Fourth Proportional to 13,639.16, 20,463.06 and 6,708.80

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Solution

The fourth proportional to 13,639.16, 20,463.06 and 6,708.80 is: 10,065.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,639.16 : 20,463.06 = 6,708.80 : x
  2. Step 2: Convert to fraction form
    13,639.16/20,463.06 = 6,708.80/x
  3. Step 3: Cross multiply
    13,639.16x = 20,463.06 × 6,708.80
  4. Step 4: Simplify right side
    13,639.16x = 137,282,576.93
  5. Step 5: Solve for x
    x = 137,282,576.93/13,639.16
  6. Step 6: Final answer
    x = 10,065.32

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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.