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Finding the Fourth Proportional to 14,481.74, 19,985.10 and 8,194.11

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Solution

The fourth proportional to 14,481.74, 19,985.10 and 8,194.11 is: 11,308.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,481.74 : 19,985.10 = 8,194.11 : x
  2. Step 2: Convert to fraction form
    14,481.74/19,985.10 = 8,194.11/x
  3. Step 3: Cross multiply
    14,481.74x = 19,985.10 × 8,194.11
  4. Step 4: Simplify right side
    14,481.74x = 163,760,157.72
  5. Step 5: Solve for x
    x = 163,760,157.72/14,481.74
  6. Step 6: Final answer
    x = 11,308.05

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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.