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Finding the Fourth Proportional to 14,863.55, 20,513.79 and 9,200.12

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Solution

The fourth proportional to 14,863.55, 20,513.79 and 9,200.12 is: 12,697.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,863.55 : 20,513.79 = 9,200.12 : x
  2. Step 2: Convert to fraction form
    14,863.55/20,513.79 = 9,200.12/x
  3. Step 3: Cross multiply
    14,863.55x = 20,513.79 × 9,200.12
  4. Step 4: Simplify right side
    14,863.55x = 188,729,227.09
  5. Step 5: Solve for x
    x = 188,729,227.09/14,863.55
  6. Step 6: Final answer
    x = 12,697.46

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.