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Finding the Fourth Proportional to 15,198.74, 22,810.41 and 6,439.80

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Solution

The fourth proportional to 15,198.74, 22,810.41 and 6,439.80 is: 9,664.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,198.74 : 22,810.41 = 6,439.80 : x
  2. Step 2: Convert to fraction form
    15,198.74/22,810.41 = 6,439.80/x
  3. Step 3: Cross multiply
    15,198.74x = 22,810.41 × 6,439.80
  4. Step 4: Simplify right side
    15,198.74x = 146,894,563.86
  5. Step 5: Solve for x
    x = 146,894,563.86/15,198.74
  6. Step 6: Final answer
    x = 9,664.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.