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Finding the Fourth Proportional to 23,791.35, 35,679.92 and 7,146.93

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Solution

The fourth proportional to 23,791.35, 35,679.92 and 7,146.93 is: 10,718.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,791.35 : 35,679.92 = 7,146.93 : x
  2. Step 2: Convert to fraction form
    23,791.35/35,679.92 = 7,146.93/x
  3. Step 3: Cross multiply
    23,791.35x = 35,679.92 × 7,146.93
  4. Step 4: Simplify right side
    23,791.35x = 255,001,854.91
  5. Step 5: Solve for x
    x = 255,001,854.91/23,791.35
  6. Step 6: Final answer
    x = 10,718.26

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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.