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Finding the Fourth Proportional to 17,522.76, 24,181.83 and 9,564.93

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Solution

The fourth proportional to 17,522.76, 24,181.83 and 9,564.93 is: 13,199.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,522.76 : 24,181.83 = 9,564.93 : x
  2. Step 2: Convert to fraction form
    17,522.76/24,181.83 = 9,564.93/x
  3. Step 3: Cross multiply
    17,522.76x = 24,181.83 × 9,564.93
  4. Step 4: Simplify right side
    17,522.76x = 231,297,511.22
  5. Step 5: Solve for x
    x = 231,297,511.22/17,522.76
  6. Step 6: Final answer
    x = 13,199.83

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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.