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Finding the Fourth Proportional to 17,072.19, 23,559.72 and 9,519

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Solution

The fourth proportional to 17,072.19, 23,559.72 and 9,519 is: 13,136.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,072.19 : 23,559.72 = 9,519 : x
  2. Step 2: Convert to fraction form
    17,072.19/23,559.72 = 9,519/x
  3. Step 3: Cross multiply
    17,072.19x = 23,559.72 × 9,519
  4. Step 4: Simplify right side
    17,072.19x = 224,264,974.68
  5. Step 5: Solve for x
    x = 224,264,974.68/17,072.19
  6. Step 6: Final answer
    x = 13,136.27

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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.