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Finding the Fourth Proportional to 13,616.44, 20,425.91 and 5,297.06

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Solution

The fourth proportional to 13,616.44, 20,425.91 and 5,297.06 is: 7,946.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,616.44 : 20,425.91 = 5,297.06 : x
  2. Step 2: Convert to fraction form
    13,616.44/20,425.91 = 5,297.06/x
  3. Step 3: Cross multiply
    13,616.44x = 20,425.91 × 5,297.06
  4. Step 4: Simplify right side
    13,616.44x = 108,197,295.40
  5. Step 5: Solve for x
    x = 108,197,295.40/13,616.44
  6. Step 6: Final answer
    x = 7,946.08

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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.