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Finding the Fourth Proportional to 13,708, 20,564.88 and 5,500

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Solution

The fourth proportional to 13,708, 20,564.88 and 5,500 is: 8,251.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,708 : 20,564.88 = 5,500 : x
  2. Step 2: Convert to fraction form
    13,708/20,564.88 = 5,500/x
  3. Step 3: Cross multiply
    13,708x = 20,564.88 × 5,500
  4. Step 4: Simplify right side
    13,708x = 113,106,840
  5. Step 5: Solve for x
    x = 113,106,840/13,708
  6. Step 6: Final answer
    x = 8,251.16

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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.