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Finding the Fourth Proportional to 27,178.23, 40,772.85 and 9,649.44

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Solution

The fourth proportional to 27,178.23, 40,772.85 and 9,649.44 is: 14,476.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,178.23 : 40,772.85 = 9,649.44 : x
  2. Step 2: Convert to fraction form
    27,178.23/40,772.85 = 9,649.44/x
  3. Step 3: Cross multiply
    27,178.23x = 40,772.85 × 9,649.44
  4. Step 4: Simplify right side
    27,178.23x = 393,435,169.70
  5. Step 5: Solve for x
    x = 393,435,169.70/27,178.23
  6. Step 6: Final answer
    x = 14,476.11

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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.