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Finding the Fourth Proportional to 17,541.21, 24,206.49 and 9,583.47

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Solution

The fourth proportional to 17,541.21, 24,206.49 and 9,583.47 is: 13,224.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,541.21 : 24,206.49 = 9,583.47 : x
  2. Step 2: Convert to fraction form
    17,541.21/24,206.49 = 9,583.47/x
  3. Step 3: Cross multiply
    17,541.21x = 24,206.49 × 9,583.47
  4. Step 4: Simplify right side
    17,541.21x = 231,982,170.72
  5. Step 5: Solve for x
    x = 231,982,170.72/17,541.21
  6. Step 6: Final answer
    x = 13,224.98

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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.