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Finding the Fourth Proportional to 13,719.92, 20,577.49 and 3,856.85

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Solution

The fourth proportional to 13,719.92, 20,577.49 and 3,856.85 is: 5,784.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,719.92 : 20,577.49 = 3,856.85 : x
  2. Step 2: Convert to fraction form
    13,719.92/20,577.49 = 3,856.85/x
  3. Step 3: Cross multiply
    13,719.92x = 20,577.49 × 3,856.85
  4. Step 4: Simplify right side
    13,719.92x = 79,364,256.94
  5. Step 5: Solve for x
    x = 79,364,256.94/13,719.92
  6. Step 6: Final answer
    x = 5,784.60

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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.