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Finding the Fourth Proportional to 17,404.74, 24,018.57 and 9,446.96

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Solution

The fourth proportional to 17,404.74, 24,018.57 and 9,446.96 is: 13,036.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,404.74 : 24,018.57 = 9,446.96 : x
  2. Step 2: Convert to fraction form
    17,404.74/24,018.57 = 9,446.96/x
  3. Step 3: Cross multiply
    17,404.74x = 24,018.57 × 9,446.96
  4. Step 4: Simplify right side
    17,404.74x = 226,902,530.09
  5. Step 5: Solve for x
    x = 226,902,530.09/17,404.74
  6. Step 6: Final answer
    x = 13,036.82

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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.