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Finding the Fourth Proportional to 17,842.56, 26,788.41 and 9,083.58

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Solution

The fourth proportional to 17,842.56, 26,788.41 and 9,083.58 is: 13,637.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,842.56 : 26,788.41 = 9,083.58 : x
  2. Step 2: Convert to fraction form
    17,842.56/26,788.41 = 9,083.58/x
  3. Step 3: Cross multiply
    17,842.56x = 26,788.41 × 9,083.58
  4. Step 4: Simplify right side
    17,842.56x = 243,334,665.31
  5. Step 5: Solve for x
    x = 243,334,665.31/17,842.56
  6. Step 6: Final answer
    x = 13,637.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.