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Finding the Fourth Proportional to 29,847.64, 41,188.12 and 16,416.73

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Solution

The fourth proportional to 29,847.64, 41,188.12 and 16,416.73 is: 22,654.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,847.64 : 41,188.12 = 16,416.73 : x
  2. Step 2: Convert to fraction form
    29,847.64/41,188.12 = 16,416.73/x
  3. Step 3: Cross multiply
    29,847.64x = 41,188.12 × 16,416.73
  4. Step 4: Simplify right side
    29,847.64x = 676,174,070.18
  5. Step 5: Solve for x
    x = 676,174,070.18/29,847.64
  6. Step 6: Final answer
    x = 22,654.19

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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.