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Finding the Fourth Proportional to 14,976, 22,463.91 and 3,882.66

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Solution

The fourth proportional to 14,976, 22,463.91 and 3,882.66 is: 5,823.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,976 : 22,463.91 = 3,882.66 : x
  2. Step 2: Convert to fraction form
    14,976/22,463.91 = 3,882.66/x
  3. Step 3: Cross multiply
    14,976x = 22,463.91 × 3,882.66
  4. Step 4: Simplify right side
    14,976x = 87,219,724.80
  5. Step 5: Solve for x
    x = 87,219,724.80/14,976
  6. Step 6: Final answer
    x = 5,823.97

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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.