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Finding the Fourth Proportional to 17,032.22, 23,504.46 and 9,580.22

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Solution

The fourth proportional to 17,032.22, 23,504.46 and 9,580.22 is: 13,220.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,032.22 : 23,504.46 = 9,580.22 : x
  2. Step 2: Convert to fraction form
    17,032.22/23,504.46 = 9,580.22/x
  3. Step 3: Cross multiply
    17,032.22x = 23,504.46 × 9,580.22
  4. Step 4: Simplify right side
    17,032.22x = 225,177,886.36
  5. Step 5: Solve for x
    x = 225,177,886.36/17,032.22
  6. Step 6: Final answer
    x = 13,220.70

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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.