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Finding the Fourth Proportional to 14,906.82, 22,362.63 and 4,516.14

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Solution

The fourth proportional to 14,906.82, 22,362.63 and 4,516.14 is: 6,774.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,906.82 : 22,362.63 = 4,516.14 : x
  2. Step 2: Convert to fraction form
    14,906.82/22,362.63 = 4,516.14/x
  3. Step 3: Cross multiply
    14,906.82x = 22,362.63 × 4,516.14
  4. Step 4: Simplify right side
    14,906.82x = 100,992,767.85
  5. Step 5: Solve for x
    x = 100,992,767.85/14,906.82
  6. Step 6: Final answer
    x = 6,774.94

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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.