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Finding the Fourth Proportional to 12,148.83, 16,765.29 and 6,845.36

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Solution

The fourth proportional to 12,148.83, 16,765.29 and 6,845.36 is: 9,446.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,148.83 : 16,765.29 = 6,845.36 : x
  2. Step 2: Convert to fraction form
    12,148.83/16,765.29 = 6,845.36/x
  3. Step 3: Cross multiply
    12,148.83x = 16,765.29 × 6,845.36
  4. Step 4: Simplify right side
    12,148.83x = 114,764,361.73
  5. Step 5: Solve for x
    x = 114,764,361.73/12,148.83
  6. Step 6: Final answer
    x = 9,446.54

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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.