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Finding the Fourth Proportional to 13,716.16, 20,575.04 and 3,856.20

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Solution

The fourth proportional to 13,716.16, 20,575.04 and 3,856.20 is: 5,784.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,716.16 : 20,575.04 = 3,856.20 : x
  2. Step 2: Convert to fraction form
    13,716.16/20,575.04 = 3,856.20/x
  3. Step 3: Cross multiply
    13,716.16x = 20,575.04 × 3,856.20
  4. Step 4: Simplify right side
    13,716.16x = 79,341,469.25
  5. Step 5: Solve for x
    x = 79,341,469.25/13,716.16
  6. Step 6: Final answer
    x = 5,784.52

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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.