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Finding the Fourth Proportional to 17,416.27, 24,034.46 and 9,458.50

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Solution

The fourth proportional to 17,416.27, 24,034.46 and 9,458.50 is: 13,052.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,416.27 : 24,034.46 = 9,458.50 : x
  2. Step 2: Convert to fraction form
    17,416.27/24,034.46 = 9,458.50/x
  3. Step 3: Cross multiply
    17,416.27x = 24,034.46 × 9,458.50
  4. Step 4: Simplify right side
    17,416.27x = 227,329,939.91
  5. Step 5: Solve for x
    x = 227,329,939.91/17,416.27
  6. Step 6: Final answer
    x = 13,052.73

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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.