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Finding the Fourth Proportional to 23,802.30, 35,704.96 and 8,006.09

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Solution

The fourth proportional to 23,802.30, 35,704.96 and 8,006.09 is: 12,009.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,802.30 : 35,704.96 = 8,006.09 : x
  2. Step 2: Convert to fraction form
    23,802.30/35,704.96 = 8,006.09/x
  3. Step 3: Cross multiply
    23,802.30x = 35,704.96 × 8,006.09
  4. Step 4: Simplify right side
    23,802.30x = 285,856,924.67
  5. Step 5: Solve for x
    x = 285,856,924.67/23,802.30
  6. Step 6: Final answer
    x = 12,009.63

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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.