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Finding the Fourth Proportional to 12,827.09, 17,704.32 and 7,523.61

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Solution

The fourth proportional to 12,827.09, 17,704.32 and 7,523.61 is: 10,384.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,827.09 : 17,704.32 = 7,523.61 : x
  2. Step 2: Convert to fraction form
    12,827.09/17,704.32 = 7,523.61/x
  3. Step 3: Cross multiply
    12,827.09x = 17,704.32 × 7,523.61
  4. Step 4: Simplify right side
    12,827.09x = 133,200,399.00
  5. Step 5: Solve for x
    x = 133,200,399.00/12,827.09
  6. Step 6: Final answer
    x = 10,384.31

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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.