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Finding the Fourth Proportional to 13,967.75, 20,951.83 and 3,437.77

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Solution

The fourth proportional to 13,967.75, 20,951.83 and 3,437.77 is: 5,156.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,967.75 : 20,951.83 = 3,437.77 : x
  2. Step 2: Convert to fraction form
    13,967.75/20,951.83 = 3,437.77/x
  3. Step 3: Cross multiply
    13,967.75x = 20,951.83 × 3,437.77
  4. Step 4: Simplify right side
    13,967.75x = 72,027,572.62
  5. Step 5: Solve for x
    x = 72,027,572.62/13,967.75
  6. Step 6: Final answer
    x = 5,156.71

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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.