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Finding the Fourth Proportional to 12,145.64, 16,768.73 and 9,912.85

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Solution

The fourth proportional to 12,145.64, 16,768.73 and 9,912.85 is: 13,686.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,145.64 : 16,768.73 = 9,912.85 : x
  2. Step 2: Convert to fraction form
    12,145.64/16,768.73 = 9,912.85/x
  3. Step 3: Cross multiply
    12,145.64x = 16,768.73 × 9,912.85
  4. Step 4: Simplify right side
    12,145.64x = 166,225,888.04
  5. Step 5: Solve for x
    x = 166,225,888.04/12,145.64
  6. Step 6: Final answer
    x = 13,686.06

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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.