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Finding the Fourth Proportional to 14,164.71, 19,548.83 and 8,861.24

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Solution

The fourth proportional to 14,164.71, 19,548.83 and 8,861.24 is: 12,229.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,164.71 : 19,548.83 = 8,861.24 : x
  2. Step 2: Convert to fraction form
    14,164.71/19,548.83 = 8,861.24/x
  3. Step 3: Cross multiply
    14,164.71x = 19,548.83 × 8,861.24
  4. Step 4: Simplify right side
    14,164.71x = 173,226,874.35
  5. Step 5: Solve for x
    x = 173,226,874.35/14,164.71
  6. Step 6: Final answer
    x = 12,229.47

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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.