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Finding the Fourth Proportional to 17,006.50, 23,469.24 and 9,554.50

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Solution

The fourth proportional to 17,006.50, 23,469.24 and 9,554.50 is: 13,185.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,006.50 : 23,469.24 = 9,554.50 : x
  2. Step 2: Convert to fraction form
    17,006.50/23,469.24 = 9,554.50/x
  3. Step 3: Cross multiply
    17,006.50x = 23,469.24 × 9,554.50
  4. Step 4: Simplify right side
    17,006.50x = 224,236,853.58
  5. Step 5: Solve for x
    x = 224,236,853.58/17,006.50
  6. Step 6: Final answer
    x = 13,185.36

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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.