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Finding the Fourth Proportional to 14,942.82, 22,414.23 and 5,089.17

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Solution

The fourth proportional to 14,942.82, 22,414.23 and 5,089.17 is: 7,633.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,942.82 : 22,414.23 = 5,089.17 : x
  2. Step 2: Convert to fraction form
    14,942.82/22,414.23 = 5,089.17/x
  3. Step 3: Cross multiply
    14,942.82x = 22,414.23 × 5,089.17
  4. Step 4: Simplify right side
    14,942.82x = 114,069,826.89
  5. Step 5: Solve for x
    x = 114,069,826.89/14,942.82
  6. Step 6: Final answer
    x = 7,633.76

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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.