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Finding the Fourth Proportional to 17,424.96, 24,046.86 and 9,467.64

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Solution

The fourth proportional to 17,424.96, 24,046.86 and 9,467.64 is: 13,065.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,424.96 : 24,046.86 = 9,467.64 : x
  2. Step 2: Convert to fraction form
    17,424.96/24,046.86 = 9,467.64/x
  3. Step 3: Cross multiply
    17,424.96x = 24,046.86 × 9,467.64
  4. Step 4: Simplify right side
    17,424.96x = 227,667,013.61
  5. Step 5: Solve for x
    x = 227,667,013.61/17,424.96
  6. Step 6: Final answer
    x = 13,065.57

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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.