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Finding the Fourth Proportional to 14,081.50, 19,434.85 and 8,116.64

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Solution

The fourth proportional to 14,081.50, 19,434.85 and 8,116.64 is: 11,202.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,081.50 : 19,434.85 = 8,116.64 : x
  2. Step 2: Convert to fraction form
    14,081.50/19,434.85 = 8,116.64/x
  3. Step 3: Cross multiply
    14,081.50x = 19,434.85 × 8,116.64
  4. Step 4: Simplify right side
    14,081.50x = 157,745,627.31
  5. Step 5: Solve for x
    x = 157,745,627.31/14,081.50
  6. Step 6: Final answer
    x = 11,202.33

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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.