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Finding the Fourth Proportional to 13,706.56, 20,566.88 and 5,814.48

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Solution

The fourth proportional to 13,706.56, 20,566.88 and 5,814.48 is: 8,724.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,706.56 : 20,566.88 = 5,814.48 : x
  2. Step 2: Convert to fraction form
    13,706.56/20,566.88 = 5,814.48/x
  3. Step 3: Cross multiply
    13,706.56x = 20,566.88 × 5,814.48
  4. Step 4: Simplify right side
    13,706.56x = 119,585,712.42
  5. Step 5: Solve for x
    x = 119,585,712.42/13,706.56
  6. Step 6: Final answer
    x = 8,724.71

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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.