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Finding the Fourth Proportional to 29,961.76, 41,346.74 and 16,349.68

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Solution

The fourth proportional to 29,961.76, 41,346.74 and 16,349.68 is: 22,562.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,961.76 : 41,346.74 = 16,349.68 : x
  2. Step 2: Convert to fraction form
    29,961.76/41,346.74 = 16,349.68/x
  3. Step 3: Cross multiply
    29,961.76x = 41,346.74 × 16,349.68
  4. Step 4: Simplify right side
    29,961.76x = 676,005,968.04
  5. Step 5: Solve for x
    x = 676,005,968.04/29,961.76
  6. Step 6: Final answer
    x = 22,562.29

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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.