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Finding the Fourth Proportional to 14,656.82, 20,226.31 and 7,942.32

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Solution

The fourth proportional to 14,656.82, 20,226.31 and 7,942.32 is: 10,960.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,656.82 : 20,226.31 = 7,942.32 : x
  2. Step 2: Convert to fraction form
    14,656.82/20,226.31 = 7,942.32/x
  3. Step 3: Cross multiply
    14,656.82x = 20,226.31 × 7,942.32
  4. Step 4: Simplify right side
    14,656.82x = 160,643,806.58
  5. Step 5: Solve for x
    x = 160,643,806.58/14,656.82
  6. Step 6: Final answer
    x = 10,960.35

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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.