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Finding the Fourth Proportional to 19,777.66, 29,671.25 and 8,090.91

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Solution

The fourth proportional to 19,777.66, 29,671.25 and 8,090.91 is: 12,138.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,777.66 : 29,671.25 = 8,090.91 : x
  2. Step 2: Convert to fraction form
    19,777.66/29,671.25 = 8,090.91/x
  3. Step 3: Cross multiply
    19,777.66x = 29,671.25 × 8,090.91
  4. Step 4: Simplify right side
    19,777.66x = 240,067,413.34
  5. Step 5: Solve for x
    x = 240,067,413.34/19,777.66
  6. Step 6: Final answer
    x = 12,138.31

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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.