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Finding the Fourth Proportional to 23,638.12, 35,460.84 and 8,054.56

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Solution

The fourth proportional to 23,638.12, 35,460.84 and 8,054.56 is: 12,083.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,638.12 : 35,460.84 = 8,054.56 : x
  2. Step 2: Convert to fraction form
    23,638.12/35,460.84 = 8,054.56/x
  3. Step 3: Cross multiply
    23,638.12x = 35,460.84 × 8,054.56
  4. Step 4: Simplify right side
    23,638.12x = 285,621,463.43
  5. Step 5: Solve for x
    x = 285,621,463.43/23,638.12
  6. Step 6: Final answer
    x = 12,083.09

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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.