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Finding the Fourth Proportional to 23,796.02, 35,694.30 and 8,210

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Solution

The fourth proportional to 23,796.02, 35,694.30 and 8,210 is: 12,315.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,796.02 : 35,694.30 = 8,210 : x
  2. Step 2: Convert to fraction form
    23,796.02/35,694.30 = 8,210/x
  3. Step 3: Cross multiply
    23,796.02x = 35,694.30 × 8,210
  4. Step 4: Simplify right side
    23,796.02x = 293,050,203
  5. Step 5: Solve for x
    x = 293,050,203/23,796.02
  6. Step 6: Final answer
    x = 12,315.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.