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Finding the Fourth Proportional to 29,206.90, 40,305.52 and 15,778.16

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Solution

The fourth proportional to 29,206.90, 40,305.52 and 15,778.16 is: 21,773.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,206.90 : 40,305.52 = 15,778.16 : x
  2. Step 2: Convert to fraction form
    29,206.90/40,305.52 = 15,778.16/x
  3. Step 3: Cross multiply
    29,206.90x = 40,305.52 × 15,778.16
  4. Step 4: Simplify right side
    29,206.90x = 635,946,943.44
  5. Step 5: Solve for x
    x = 635,946,943.44/29,206.90
  6. Step 6: Final answer
    x = 21,773.86

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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.