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Finding the Fourth Proportional to 12,889.31, 19,330.82 and 4,122.41

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Solution

The fourth proportional to 12,889.31, 19,330.82 and 4,122.41 is: 6,182.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,889.31 : 19,330.82 = 4,122.41 : x
  2. Step 2: Convert to fraction form
    12,889.31/19,330.82 = 4,122.41/x
  3. Step 3: Cross multiply
    12,889.31x = 19,330.82 × 4,122.41
  4. Step 4: Simplify right side
    12,889.31x = 79,689,545.06
  5. Step 5: Solve for x
    x = 79,689,545.06/12,889.31
  6. Step 6: Final answer
    x = 6,182.61

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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.