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Finding the Fourth Proportional to 13,677.96, 20,494.44 and 5,773.98

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Solution

The fourth proportional to 13,677.96, 20,494.44 and 5,773.98 is: 8,651.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,677.96 : 20,494.44 = 5,773.98 : x
  2. Step 2: Convert to fraction form
    13,677.96/20,494.44 = 5,773.98/x
  3. Step 3: Cross multiply
    13,677.96x = 20,494.44 × 5,773.98
  4. Step 4: Simplify right side
    13,677.96x = 118,334,486.67
  5. Step 5: Solve for x
    x = 118,334,486.67/13,677.96
  6. Step 6: Final answer
    x = 8,651.47

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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.