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Finding the Fourth Proportional to 13,673.52, 20,520 and 6,286.32

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Solution

The fourth proportional to 13,673.52, 20,520 and 6,286.32 is: 9,433.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,673.52 : 20,520 = 6,286.32 : x
  2. Step 2: Convert to fraction form
    13,673.52/20,520 = 6,286.32/x
  3. Step 3: Cross multiply
    13,673.52x = 20,520 × 6,286.32
  4. Step 4: Simplify right side
    13,673.52x = 128,995,286.40
  5. Step 5: Solve for x
    x = 128,995,286.40/13,673.52
  6. Step 6: Final answer
    x = 9,433.95

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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.