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Finding the Fourth Proportional to 17,085.53, 23,576.87 and 9,817.85

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Solution

The fourth proportional to 17,085.53, 23,576.87 and 9,817.85 is: 13,547.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,085.53 : 23,576.87 = 9,817.85 : x
  2. Step 2: Convert to fraction form
    17,085.53/23,576.87 = 9,817.85/x
  3. Step 3: Cross multiply
    17,085.53x = 23,576.87 × 9,817.85
  4. Step 4: Simplify right side
    17,085.53x = 231,474,006.16
  5. Step 5: Solve for x
    x = 231,474,006.16/17,085.53
  6. Step 6: Final answer
    x = 13,547.96

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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.