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Finding the Fourth Proportional to 13,685, 20,519.32 and 6,651.20

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Solution

The fourth proportional to 13,685, 20,519.32 and 6,651.20 is: 9,972.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,685 : 20,519.32 = 6,651.20 : x
  2. Step 2: Convert to fraction form
    13,685/20,519.32 = 6,651.20/x
  3. Step 3: Cross multiply
    13,685x = 20,519.32 × 6,651.20
  4. Step 4: Simplify right side
    13,685x = 136,478,101.18
  5. Step 5: Solve for x
    x = 136,478,101.18/13,685
  6. Step 6: Final answer
    x = 9,972.82

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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.