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Finding the Fourth Proportional to 12,833.96, 17,704.78 and 8,356.08

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Solution

The fourth proportional to 12,833.96, 17,704.78 and 8,356.08 is: 11,527.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,833.96 : 17,704.78 = 8,356.08 : x
  2. Step 2: Convert to fraction form
    12,833.96/17,704.78 = 8,356.08/x
  3. Step 3: Cross multiply
    12,833.96x = 17,704.78 × 8,356.08
  4. Step 4: Simplify right side
    12,833.96x = 147,942,558.06
  5. Step 5: Solve for x
    x = 147,942,558.06/12,833.96
  6. Step 6: Final answer
    x = 11,527.43

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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.