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Finding the Fourth Proportional to 29,856.33, 41,202.73 and 16,428.57

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Solution

The fourth proportional to 29,856.33, 41,202.73 and 16,428.57 is: 22,671.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,856.33 : 41,202.73 = 16,428.57 : x
  2. Step 2: Convert to fraction form
    29,856.33/41,202.73 = 16,428.57/x
  3. Step 3: Cross multiply
    29,856.33x = 41,202.73 × 16,428.57
  4. Step 4: Simplify right side
    29,856.33x = 676,902,057.54
  5. Step 5: Solve for x
    x = 676,902,057.54/29,856.33
  6. Step 6: Final answer
    x = 22,671.98

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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.