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Finding the Fourth Proportional to 17,205.34, 23,747.16 and 10,916.50

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Solution

The fourth proportional to 17,205.34, 23,747.16 and 10,916.50 is: 15,067.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,205.34 : 23,747.16 = 10,916.50 : x
  2. Step 2: Convert to fraction form
    17,205.34/23,747.16 = 10,916.50/x
  3. Step 3: Cross multiply
    17,205.34x = 23,747.16 × 10,916.50
  4. Step 4: Simplify right side
    17,205.34x = 259,235,872.14
  5. Step 5: Solve for x
    x = 259,235,872.14/17,205.34
  6. Step 6: Final answer
    x = 15,067.18

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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.