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Finding the Fourth Proportional to 23,157, 34,782.12 and 13,815.27

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Solution

The fourth proportional to 23,157, 34,782.12 and 13,815.27 is: 20,750.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,157 : 34,782.12 = 13,815.27 : x
  2. Step 2: Convert to fraction form
    23,157/34,782.12 = 13,815.27/x
  3. Step 3: Cross multiply
    23,157x = 34,782.12 × 13,815.27
  4. Step 4: Simplify right side
    23,157x = 480,524,378.97
  5. Step 5: Solve for x
    x = 480,524,378.97/23,157
  6. Step 6: Final answer
    x = 20,750.72

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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.