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Finding the Fourth Proportional to 12,827.33, 17,704.67 and 7,523.86

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Solution

The fourth proportional to 12,827.33, 17,704.67 and 7,523.86 is: 10,384.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,827.33 : 17,704.67 = 7,523.86 : x
  2. Step 2: Convert to fraction form
    12,827.33/17,704.67 = 7,523.86/x
  3. Step 3: Cross multiply
    12,827.33x = 17,704.67 × 7,523.86
  4. Step 4: Simplify right side
    12,827.33x = 133,207,458.43
  5. Step 5: Solve for x
    x = 133,207,458.43/12,827.33
  6. Step 6: Final answer
    x = 10,384.66

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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.