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Finding the Fourth Proportional to 17,089.01, 23,584.64 and 9,537.96

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Solution

The fourth proportional to 17,089.01, 23,584.64 and 9,537.96 is: 13,163.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,089.01 : 23,584.64 = 9,537.96 : x
  2. Step 2: Convert to fraction form
    17,089.01/23,584.64 = 9,537.96/x
  3. Step 3: Cross multiply
    17,089.01x = 23,584.64 × 9,537.96
  4. Step 4: Simplify right side
    17,089.01x = 224,949,352.93
  5. Step 5: Solve for x
    x = 224,949,352.93/17,089.01
  6. Step 6: Final answer
    x = 13,163.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.