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Finding the Fourth Proportional to 23,808.14, 35,717.38 and 7,166.89

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Solution

The fourth proportional to 23,808.14, 35,717.38 and 7,166.89 is: 10,751.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,808.14 : 35,717.38 = 7,166.89 : x
  2. Step 2: Convert to fraction form
    23,808.14/35,717.38 = 7,166.89/x
  3. Step 3: Cross multiply
    23,808.14x = 35,717.38 × 7,166.89
  4. Step 4: Simplify right side
    23,808.14x = 255,982,560.28
  5. Step 5: Solve for x
    x = 255,982,560.28/23,808.14
  6. Step 6: Final answer
    x = 10,751.89

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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.