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Finding the Fourth Proportional to 14,853.50, 20,497.84 and 8,229.50

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Solution

The fourth proportional to 14,853.50, 20,497.84 and 8,229.50 is: 11,356.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,853.50 : 20,497.84 = 8,229.50 : x
  2. Step 2: Convert to fraction form
    14,853.50/20,497.84 = 8,229.50/x
  3. Step 3: Cross multiply
    14,853.50x = 20,497.84 × 8,229.50
  4. Step 4: Simplify right side
    14,853.50x = 168,686,974.28
  5. Step 5: Solve for x
    x = 168,686,974.28/14,853.50
  6. Step 6: Final answer
    x = 11,356.72

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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.