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Finding the Fourth Proportional to 29,845.60, 41,186.25 and 16,416.57

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Solution

The fourth proportional to 29,845.60, 41,186.25 and 16,416.57 is: 22,654.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,845.60 : 41,186.25 = 16,416.57 : x
  2. Step 2: Convert to fraction form
    29,845.60/41,186.25 = 16,416.57/x
  3. Step 3: Cross multiply
    29,845.60x = 41,186.25 × 16,416.57
  4. Step 4: Simplify right side
    29,845.60x = 676,136,956.16
  5. Step 5: Solve for x
    x = 676,136,956.16/29,845.60
  6. Step 6: Final answer
    x = 22,654.49

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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.