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Finding the Fourth Proportional to 17,541.22, 24,206.58 and 9,583.24

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Solution

The fourth proportional to 17,541.22, 24,206.58 and 9,583.24 is: 13,224.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,541.22 : 24,206.58 = 9,583.24 : x
  2. Step 2: Convert to fraction form
    17,541.22/24,206.58 = 9,583.24/x
  3. Step 3: Cross multiply
    17,541.22x = 24,206.58 × 9,583.24
  4. Step 4: Simplify right side
    17,541.22x = 231,977,465.72
  5. Step 5: Solve for x
    x = 231,977,465.72/17,541.22
  6. Step 6: Final answer
    x = 13,224.71

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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.