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Finding the Fourth Proportional to 17,522.10, 24,179.64 and 9,564.12

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Solution

The fourth proportional to 17,522.10, 24,179.64 and 9,564.12 is: 13,198.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,522.10 : 24,179.64 = 9,564.12 : x
  2. Step 2: Convert to fraction form
    17,522.10/24,179.64 = 9,564.12/x
  3. Step 3: Cross multiply
    17,522.10x = 24,179.64 × 9,564.12
  4. Step 4: Simplify right side
    17,522.10x = 231,256,978.52
  5. Step 5: Solve for x
    x = 231,256,978.52/17,522.10
  6. Step 6: Final answer
    x = 13,198.02

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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.