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Finding the Fourth Proportional to 17,032.26, 23,504.50 and 9,580.26

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Solution

The fourth proportional to 17,032.26, 23,504.50 and 9,580.26 is: 13,220.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,032.26 : 23,504.50 = 9,580.26 : x
  2. Step 2: Convert to fraction form
    17,032.26/23,504.50 = 9,580.26/x
  3. Step 3: Cross multiply
    17,032.26x = 23,504.50 × 9,580.26
  4. Step 4: Simplify right side
    17,032.26x = 225,179,221.17
  5. Step 5: Solve for x
    x = 225,179,221.17/17,032.26
  6. Step 6: Final answer
    x = 13,220.75

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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.