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Finding the Fourth Proportional to 13,907.92, 20,861.94 and 4,047.24

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Solution

The fourth proportional to 13,907.92, 20,861.94 and 4,047.24 is: 6,070.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,907.92 : 20,861.94 = 4,047.24 : x
  2. Step 2: Convert to fraction form
    13,907.92/20,861.94 = 4,047.24/x
  3. Step 3: Cross multiply
    13,907.92x = 20,861.94 × 4,047.24
  4. Step 4: Simplify right side
    13,907.92x = 84,433,278.05
  5. Step 5: Solve for x
    x = 84,433,278.05/13,907.92
  6. Step 6: Final answer
    x = 6,070.88

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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.