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Finding the Fourth Proportional to 17,396.67, 24,007.10 and 9,842.81

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Solution

The fourth proportional to 17,396.67, 24,007.10 and 9,842.81 is: 13,582.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,396.67 : 24,007.10 = 9,842.81 : x
  2. Step 2: Convert to fraction form
    17,396.67/24,007.10 = 9,842.81/x
  3. Step 3: Cross multiply
    17,396.67x = 24,007.10 × 9,842.81
  4. Step 4: Simplify right side
    17,396.67x = 236,297,323.95
  5. Step 5: Solve for x
    x = 236,297,323.95/17,396.67
  6. Step 6: Final answer
    x = 13,582.91

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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.