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Finding the Fourth Proportional to 17,175.77, 23,704.53 and 9,624.14

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Solution

The fourth proportional to 17,175.77, 23,704.53 and 9,624.14 is: 13,282.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,175.77 : 23,704.53 = 9,624.14 : x
  2. Step 2: Convert to fraction form
    17,175.77/23,704.53 = 9,624.14/x
  3. Step 3: Cross multiply
    17,175.77x = 23,704.53 × 9,624.14
  4. Step 4: Simplify right side
    17,175.77x = 228,135,715.35
  5. Step 5: Solve for x
    x = 228,135,715.35/17,175.77
  6. Step 6: Final answer
    x = 13,282.42

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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.