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Finding the Fourth Proportional to 20,840.96, 31,261.48 and 7,687.98

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Solution

The fourth proportional to 20,840.96, 31,261.48 and 7,687.98 is: 11,531.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,840.96 : 31,261.48 = 7,687.98 : x
  2. Step 2: Convert to fraction form
    20,840.96/31,261.48 = 7,687.98/x
  3. Step 3: Cross multiply
    20,840.96x = 31,261.48 × 7,687.98
  4. Step 4: Simplify right side
    20,840.96x = 240,337,613.79
  5. Step 5: Solve for x
    x = 240,337,613.79/20,840.96
  6. Step 6: Final answer
    x = 11,531.98

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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.