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Finding the Fourth Proportional to 12,382.69, 17,083.95 and 7,073.74

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Solution

The fourth proportional to 12,382.69, 17,083.95 and 7,073.74 is: 9,759.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,382.69 : 17,083.95 = 7,073.74 : x
  2. Step 2: Convert to fraction form
    12,382.69/17,083.95 = 7,073.74/x
  3. Step 3: Cross multiply
    12,382.69x = 17,083.95 × 7,073.74
  4. Step 4: Simplify right side
    12,382.69x = 120,847,420.47
  5. Step 5: Solve for x
    x = 120,847,420.47/12,382.69
  6. Step 6: Final answer
    x = 9,759.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.