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Finding the Fourth Proportional to 13,710.16, 20,563.68 and 3,850.24

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Solution

The fourth proportional to 13,710.16, 20,563.68 and 3,850.24 is: 5,774.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,710.16 : 20,563.68 = 3,850.24 : x
  2. Step 2: Convert to fraction form
    13,710.16/20,563.68 = 3,850.24/x
  3. Step 3: Cross multiply
    13,710.16x = 20,563.68 × 3,850.24
  4. Step 4: Simplify right side
    13,710.16x = 79,175,103.28
  5. Step 5: Solve for x
    x = 79,175,103.28/13,710.16
  6. Step 6: Final answer
    x = 5,774.92

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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.