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Finding the Fourth Proportional to 29,856.46, 41,202.90 and 16,428.70

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Solution

The fourth proportional to 29,856.46, 41,202.90 and 16,428.70 is: 22,672.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,856.46 : 41,202.90 = 16,428.70 : x
  2. Step 2: Convert to fraction form
    29,856.46/41,202.90 = 16,428.70/x
  3. Step 3: Cross multiply
    29,856.46x = 41,202.90 × 16,428.70
  4. Step 4: Simplify right side
    29,856.46x = 676,910,041.83
  5. Step 5: Solve for x
    x = 676,910,041.83/29,856.46
  6. Step 6: Final answer
    x = 22,672.15

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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.