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Finding the Fourth Proportional to 17,065.12, 23,549.96 and 9,896.44

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Solution

The fourth proportional to 17,065.12, 23,549.96 and 9,896.44 is: 13,657.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,065.12 : 23,549.96 = 9,896.44 : x
  2. Step 2: Convert to fraction form
    17,065.12/23,549.96 = 9,896.44/x
  3. Step 3: Cross multiply
    17,065.12x = 23,549.96 × 9,896.44
  4. Step 4: Simplify right side
    17,065.12x = 233,060,766.14
  5. Step 5: Solve for x
    x = 233,060,766.14/17,065.12
  6. Step 6: Final answer
    x = 13,657.14

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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.