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Finding the Fourth Proportional to 29,199.75, 40,295.64 and 15,771

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Solution

The fourth proportional to 29,199.75, 40,295.64 and 15,771 is: 21,763.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,199.75 : 40,295.64 = 15,771 : x
  2. Step 2: Convert to fraction form
    29,199.75/40,295.64 = 15,771/x
  3. Step 3: Cross multiply
    29,199.75x = 40,295.64 × 15,771
  4. Step 4: Simplify right side
    29,199.75x = 635,502,538.44
  5. Step 5: Solve for x
    x = 635,502,538.44/29,199.75
  6. Step 6: Final answer
    x = 21,763.97

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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.