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Finding the Fourth Proportional to 17,085.24, 23,576.94 and 9,531.90

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Solution

The fourth proportional to 17,085.24, 23,576.94 and 9,531.90 is: 13,153.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,085.24 : 23,576.94 = 9,531.90 : x
  2. Step 2: Convert to fraction form
    17,085.24/23,576.94 = 9,531.90/x
  3. Step 3: Cross multiply
    17,085.24x = 23,576.94 × 9,531.90
  4. Step 4: Simplify right side
    17,085.24x = 224,733,034.39
  5. Step 5: Solve for x
    x = 224,733,034.39/17,085.24
  6. Step 6: Final answer
    x = 13,153.64

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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.