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Finding the Fourth Proportional to 17,224.62, 23,770.86 and 9,670.56

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Solution

The fourth proportional to 17,224.62, 23,770.86 and 9,670.56 is: 13,345.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,224.62 : 23,770.86 = 9,670.56 : x
  2. Step 2: Convert to fraction form
    17,224.62/23,770.86 = 9,670.56/x
  3. Step 3: Cross multiply
    17,224.62x = 23,770.86 × 9,670.56
  4. Step 4: Simplify right side
    17,224.62x = 229,877,527.88
  5. Step 5: Solve for x
    x = 229,877,527.88/17,224.62
  6. Step 6: Final answer
    x = 13,345.87

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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.