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Finding the Fourth Proportional to 23,843.02, 35,756.43 and 8,257

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Solution

The fourth proportional to 23,843.02, 35,756.43 and 8,257 is: 12,382.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,843.02 : 35,756.43 = 8,257 : x
  2. Step 2: Convert to fraction form
    23,843.02/35,756.43 = 8,257/x
  3. Step 3: Cross multiply
    23,843.02x = 35,756.43 × 8,257
  4. Step 4: Simplify right side
    23,843.02x = 295,240,842.51
  5. Step 5: Solve for x
    x = 295,240,842.51/23,843.02
  6. Step 6: Final answer
    x = 12,382.69

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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.