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Finding the Fourth Proportional to 15,778.60, 23,662.30 and 6,997.80

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Solution

The fourth proportional to 15,778.60, 23,662.30 and 6,997.80 is: 10,494.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,778.60 : 23,662.30 = 6,997.80 : x
  2. Step 2: Convert to fraction form
    15,778.60/23,662.30 = 6,997.80/x
  3. Step 3: Cross multiply
    15,778.60x = 23,662.30 × 6,997.80
  4. Step 4: Simplify right side
    15,778.60x = 165,584,042.94
  5. Step 5: Solve for x
    x = 165,584,042.94/15,778.60
  6. Step 6: Final answer
    x = 10,494.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.