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Finding the Fourth Proportional to 23,637.23, 35,460.06 and 7,843.21

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Solution

The fourth proportional to 23,637.23, 35,460.06 and 7,843.21 is: 11,766.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,637.23 : 35,460.06 = 7,843.21 : x
  2. Step 2: Convert to fraction form
    23,637.23/35,460.06 = 7,843.21/x
  3. Step 3: Cross multiply
    23,637.23x = 35,460.06 × 7,843.21
  4. Step 4: Simplify right side
    23,637.23x = 278,120,500.28
  5. Step 5: Solve for x
    x = 278,120,500.28/23,637.23
  6. Step 6: Final answer
    x = 11,766.21

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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.