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Finding the Fourth Proportional to 17,238.89, 23,788.44 and 9,582.56

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Solution

The fourth proportional to 17,238.89, 23,788.44 and 9,582.56 is: 13,223.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,238.89 : 23,788.44 = 9,582.56 : x
  2. Step 2: Convert to fraction form
    17,238.89/23,788.44 = 9,582.56/x
  3. Step 3: Cross multiply
    17,238.89x = 23,788.44 × 9,582.56
  4. Step 4: Simplify right side
    17,238.89x = 227,954,034.66
  5. Step 5: Solve for x
    x = 227,954,034.66/17,238.89
  6. Step 6: Final answer
    x = 13,223.25

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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.