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Finding the Fourth Proportional to 29,206.89, 40,305.48 and 15,778.14

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Solution

The fourth proportional to 29,206.89, 40,305.48 and 15,778.14 is: 21,773.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,206.89 : 40,305.48 = 15,778.14 : x
  2. Step 2: Convert to fraction form
    29,206.89/40,305.48 = 15,778.14/x
  3. Step 3: Cross multiply
    29,206.89x = 40,305.48 × 15,778.14
  4. Step 4: Simplify right side
    29,206.89x = 635,945,506.21
  5. Step 5: Solve for x
    x = 635,945,506.21/29,206.89
  6. Step 6: Final answer
    x = 21,773.82

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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.