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Finding the Fourth Proportional to 12,114.30, 16,716.24 and 7,074.86

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Solution

The fourth proportional to 12,114.30, 16,716.24 and 7,074.86 is: 9,762.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,114.30 : 16,716.24 = 7,074.86 : x
  2. Step 2: Convert to fraction form
    12,114.30/16,716.24 = 7,074.86/x
  3. Step 3: Cross multiply
    12,114.30x = 16,716.24 × 7,074.86
  4. Step 4: Simplify right side
    12,114.30x = 118,265,057.73
  5. Step 5: Solve for x
    x = 118,265,057.73/12,114.30
  6. Step 6: Final answer
    x = 9,762.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.