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Finding the Fourth Proportional to 29,856.72, 41,201.22 and 16,427.82

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Solution

The fourth proportional to 29,856.72, 41,201.22 and 16,427.82 is: 22,669.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,856.72 : 41,201.22 = 16,427.82 : x
  2. Step 2: Convert to fraction form
    29,856.72/41,201.22 = 16,427.82/x
  3. Step 3: Cross multiply
    29,856.72x = 41,201.22 × 16,427.82
  4. Step 4: Simplify right side
    29,856.72x = 676,846,225.94
  5. Step 5: Solve for x
    x = 676,846,225.94/29,856.72
  6. Step 6: Final answer
    x = 22,669.81

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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.