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Finding the Fourth Proportional to 14,912.82, 22,371.93 and 6,142.95

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Solution

The fourth proportional to 14,912.82, 22,371.93 and 6,142.95 is: 9,215.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,912.82 : 22,371.93 = 6,142.95 : x
  2. Step 2: Convert to fraction form
    14,912.82/22,371.93 = 6,142.95/x
  3. Step 3: Cross multiply
    14,912.82x = 22,371.93 × 6,142.95
  4. Step 4: Simplify right side
    14,912.82x = 137,429,647.39
  5. Step 5: Solve for x
    x = 137,429,647.39/14,912.82
  6. Step 6: Final answer
    x = 9,215.54

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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.