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Finding the Fourth Proportional to 13,527.31, 20,294.71 and 5,633.54

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Solution

The fourth proportional to 13,527.31, 20,294.71 and 5,633.54 is: 8,451.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,527.31 : 20,294.71 = 5,633.54 : x
  2. Step 2: Convert to fraction form
    13,527.31/20,294.71 = 5,633.54/x
  3. Step 3: Cross multiply
    13,527.31x = 20,294.71 × 5,633.54
  4. Step 4: Simplify right side
    13,527.31x = 114,330,930.93
  5. Step 5: Solve for x
    x = 114,330,930.93/13,527.31
  6. Step 6: Final answer
    x = 8,451.86

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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.