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Finding the Fourth Proportional to 13,934.22, 20,906.64 and 8,391.50

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Solution

The fourth proportional to 13,934.22, 20,906.64 and 8,391.50 is: 12,590.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,934.22 : 20,906.64 = 8,391.50 : x
  2. Step 2: Convert to fraction form
    13,934.22/20,906.64 = 8,391.50/x
  3. Step 3: Cross multiply
    13,934.22x = 20,906.64 × 8,391.50
  4. Step 4: Simplify right side
    13,934.22x = 175,438,069.56
  5. Step 5: Solve for x
    x = 175,438,069.56/13,934.22
  6. Step 6: Final answer
    x = 12,590.45

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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.