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Finding the Fourth Proportional to 12,578.92, 17,356.26 and 6,989.80

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Solution

The fourth proportional to 12,578.92, 17,356.26 and 6,989.80 is: 9,644.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,578.92 : 17,356.26 = 6,989.80 : x
  2. Step 2: Convert to fraction form
    12,578.92/17,356.26 = 6,989.80/x
  3. Step 3: Cross multiply
    12,578.92x = 17,356.26 × 6,989.80
  4. Step 4: Simplify right side
    12,578.92x = 121,316,786.15
  5. Step 5: Solve for x
    x = 121,316,786.15/12,578.92
  6. Step 6: Final answer
    x = 9,644.45

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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.