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Finding the Fourth Proportional to 23,796.84, 35,695.85 and 8,002.08

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Solution

The fourth proportional to 23,796.84, 35,695.85 and 8,002.08 is: 12,003.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,796.84 : 35,695.85 = 8,002.08 : x
  2. Step 2: Convert to fraction form
    23,796.84/35,695.85 = 8,002.08/x
  3. Step 3: Cross multiply
    23,796.84x = 35,695.85 × 8,002.08
  4. Step 4: Simplify right side
    23,796.84x = 285,641,007.36
  5. Step 5: Solve for x
    x = 285,641,007.36/23,796.84
  6. Step 6: Final answer
    x = 12,003.31

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1.5x scale

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.