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Finding the Fourth Proportional to 12,721.05, 17,555.23 and 7,684.57

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Solution

The fourth proportional to 12,721.05, 17,555.23 and 7,684.57 is: 10,604.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,721.05 : 17,555.23 = 7,684.57 : x
  2. Step 2: Convert to fraction form
    12,721.05/17,555.23 = 7,684.57/x
  3. Step 3: Cross multiply
    12,721.05x = 17,555.23 × 7,684.57
  4. Step 4: Simplify right side
    12,721.05x = 134,904,425.35
  5. Step 5: Solve for x
    x = 134,904,425.35/12,721.05
  6. Step 6: Final answer
    x = 10,604.82

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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.