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Finding the Fourth Proportional to 29,654.93, 40,922.57 and 17,724.84

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Solution

The fourth proportional to 29,654.93, 40,922.57 and 17,724.84 is: 24,459.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,654.93 : 40,922.57 = 17,724.84 : x
  2. Step 2: Convert to fraction form
    29,654.93/40,922.57 = 17,724.84/x
  3. Step 3: Cross multiply
    29,654.93x = 40,922.57 × 17,724.84
  4. Step 4: Simplify right side
    29,654.93x = 725,345,917.01
  5. Step 5: Solve for x
    x = 725,345,917.01/29,654.93
  6. Step 6: Final answer
    x = 24,459.54

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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.