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Finding the Fourth Proportional to 13,815.70, 20,723.69 and 7,572.31

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Solution

The fourth proportional to 13,815.70, 20,723.69 and 7,572.31 is: 11,358.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,815.70 : 20,723.69 = 7,572.31 : x
  2. Step 2: Convert to fraction form
    13,815.70/20,723.69 = 7,572.31/x
  3. Step 3: Cross multiply
    13,815.70x = 20,723.69 × 7,572.31
  4. Step 4: Simplify right side
    13,815.70x = 156,926,167.16
  5. Step 5: Solve for x
    x = 156,926,167.16/13,815.70
  6. Step 6: Final answer
    x = 11,358.54

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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.