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Finding the Fourth Proportional to 13,016.08, 17,964.84 and 8,825.68

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Solution

The fourth proportional to 13,016.08, 17,964.84 and 8,825.68 is: 12,181.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,016.08 : 17,964.84 = 8,825.68 : x
  2. Step 2: Convert to fraction form
    13,016.08/17,964.84 = 8,825.68/x
  3. Step 3: Cross multiply
    13,016.08x = 17,964.84 × 8,825.68
  4. Step 4: Simplify right side
    13,016.08x = 158,551,929.09
  5. Step 5: Solve for x
    x = 158,551,929.09/13,016.08
  6. Step 6: Final answer
    x = 12,181.23

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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.