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Finding the Fourth Proportional to 17,617.06, 24,311.53 and 9,659.42

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Solution

The fourth proportional to 17,617.06, 24,311.53 and 9,659.42 is: 13,329.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,617.06 : 24,311.53 = 9,659.42 : x
  2. Step 2: Convert to fraction form
    17,617.06/24,311.53 = 9,659.42/x
  3. Step 3: Cross multiply
    17,617.06x = 24,311.53 × 9,659.42
  4. Step 4: Simplify right side
    17,617.06x = 234,835,109.26
  5. Step 5: Solve for x
    x = 234,835,109.26/17,617.06
  6. Step 6: Final answer
    x = 13,329.99

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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.