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Finding the Fourth Proportional to 13,893.41, 20,842.28 and 4,657.25

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Solution

The fourth proportional to 13,893.41, 20,842.28 and 4,657.25 is: 6,986.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,893.41 : 20,842.28 = 4,657.25 : x
  2. Step 2: Convert to fraction form
    13,893.41/20,842.28 = 4,657.25/x
  3. Step 3: Cross multiply
    13,893.41x = 20,842.28 × 4,657.25
  4. Step 4: Simplify right side
    13,893.41x = 97,067,708.53
  5. Step 5: Solve for x
    x = 97,067,708.53/13,893.41
  6. Step 6: Final answer
    x = 6,986.60

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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.