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Finding the Fourth Proportional to 23,842.19, 35,749.37 and 7,197.23

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Solution

The fourth proportional to 23,842.19, 35,749.37 and 7,197.23 is: 10,791.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,842.19 : 35,749.37 = 7,197.23 : x
  2. Step 2: Convert to fraction form
    23,842.19/35,749.37 = 7,197.23/x
  3. Step 3: Cross multiply
    23,842.19x = 35,749.37 × 7,197.23
  4. Step 4: Simplify right side
    23,842.19x = 257,296,545.61
  5. Step 5: Solve for x
    x = 257,296,545.61/23,842.19
  6. Step 6: Final answer
    x = 10,791.65

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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.