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Finding the Fourth Proportional to 13,662.90, 20,493.54 and 4,777.61

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Solution

The fourth proportional to 13,662.90, 20,493.54 and 4,777.61 is: 7,166.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,662.90 : 20,493.54 = 4,777.61 : x
  2. Step 2: Convert to fraction form
    13,662.90/20,493.54 = 4,777.61/x
  3. Step 3: Cross multiply
    13,662.90x = 20,493.54 × 4,777.61
  4. Step 4: Simplify right side
    13,662.90x = 97,910,039.17
  5. Step 5: Solve for x
    x = 97,910,039.17/13,662.90
  6. Step 6: Final answer
    x = 7,166.12

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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.