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Finding the Fourth Proportional to 15,791.96, 23,661.18 and 9,538.84

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Solution

The fourth proportional to 15,791.96, 23,661.18 and 9,538.84 is: 14,292.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,791.96 : 23,661.18 = 9,538.84 : x
  2. Step 2: Convert to fraction form
    15,791.96/23,661.18 = 9,538.84/x
  3. Step 3: Cross multiply
    15,791.96x = 23,661.18 × 9,538.84
  4. Step 4: Simplify right side
    15,791.96x = 225,700,044.23
  5. Step 5: Solve for x
    x = 225,700,044.23/15,791.96
  6. Step 6: Final answer
    x = 14,292.09

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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.