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Finding the Fourth Proportional to 13,708.82, 20,563.95 and 4,348.14

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Solution

The fourth proportional to 13,708.82, 20,563.95 and 4,348.14 is: 6,522.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,708.82 : 20,563.95 = 4,348.14 : x
  2. Step 2: Convert to fraction form
    13,708.82/20,563.95 = 4,348.14/x
  3. Step 3: Cross multiply
    13,708.82x = 20,563.95 × 4,348.14
  4. Step 4: Simplify right side
    13,708.82x = 89,414,933.55
  5. Step 5: Solve for x
    x = 89,414,933.55/13,708.82
  6. Step 6: Final answer
    x = 6,522.44

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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.