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Finding the Fourth Proportional to 14,695.77, 20,286.38 and 9,922.19

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Solution

The fourth proportional to 14,695.77, 20,286.38 and 9,922.19 is: 13,696.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,695.77 : 20,286.38 = 9,922.19 : x
  2. Step 2: Convert to fraction form
    14,695.77/20,286.38 = 9,922.19/x
  3. Step 3: Cross multiply
    14,695.77x = 20,286.38 × 9,922.19
  4. Step 4: Simplify right side
    14,695.77x = 201,285,165.73
  5. Step 5: Solve for x
    x = 201,285,165.73/14,695.77
  6. Step 6: Final answer
    x = 13,696.81

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Why These Related Problems?

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