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Finding the Fourth Proportional to 29,778.22, 41,097.59 and 17,202.97

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Solution

The fourth proportional to 29,778.22, 41,097.59 and 17,202.97 is: 23,742.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,778.22 : 41,097.59 = 17,202.97 : x
  2. Step 2: Convert to fraction form
    29,778.22/41,097.59 = 17,202.97/x
  3. Step 3: Cross multiply
    29,778.22x = 41,097.59 × 17,202.97
  4. Step 4: Simplify right side
    29,778.22x = 707,000,607.84
  5. Step 5: Solve for x
    x = 707,000,607.84/29,778.22
  6. Step 6: Final answer
    x = 23,742.21

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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.