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Finding the Fourth Proportional to 17,037.88, 23,506.86 and 9,584.44

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Solution

The fourth proportional to 17,037.88, 23,506.86 and 9,584.44 is: 13,223.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,037.88 : 23,506.86 = 9,584.44 : x
  2. Step 2: Convert to fraction form
    17,037.88/23,506.86 = 9,584.44/x
  3. Step 3: Cross multiply
    17,037.88x = 23,506.86 × 9,584.44
  4. Step 4: Simplify right side
    17,037.88x = 225,300,089.26
  5. Step 5: Solve for x
    x = 225,300,089.26/17,037.88
  6. Step 6: Final answer
    x = 13,223.48

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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.