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Finding the Fourth Proportional to 15,949.20, 22,012.20 and 9,578.64

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Solution

The fourth proportional to 15,949.20, 22,012.20 and 9,578.64 is: 13,219.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,949.20 : 22,012.20 = 9,578.64 : x
  2. Step 2: Convert to fraction form
    15,949.20/22,012.20 = 9,578.64/x
  3. Step 3: Cross multiply
    15,949.20x = 22,012.20 × 9,578.64
  4. Step 4: Simplify right side
    15,949.20x = 210,846,939.41
  5. Step 5: Solve for x
    x = 210,846,939.41/15,949.20
  6. Step 6: Final answer
    x = 13,219.91

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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.