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Finding the Fourth Proportional to 17,617.35, 24,311.76 and 9,659.56

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Solution

The fourth proportional to 17,617.35, 24,311.76 and 9,659.56 is: 13,330.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,617.35 : 24,311.76 = 9,659.56 : x
  2. Step 2: Convert to fraction form
    17,617.35/24,311.76 = 9,659.56/x
  3. Step 3: Cross multiply
    17,617.35x = 24,311.76 × 9,659.56
  4. Step 4: Simplify right side
    17,617.35x = 234,840,807.42
  5. Step 5: Solve for x
    x = 234,840,807.42/17,617.35
  6. Step 6: Final answer
    x = 13,330.09

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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.