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Finding the Fourth Proportional to 23,646.43, 35,447.86 and 8,053.21

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Solution

The fourth proportional to 23,646.43, 35,447.86 and 8,053.21 is: 12,072.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,646.43 : 35,447.86 = 8,053.21 : x
  2. Step 2: Convert to fraction form
    23,646.43/35,447.86 = 8,053.21/x
  3. Step 3: Cross multiply
    23,646.43x = 35,447.86 × 8,053.21
  4. Step 4: Simplify right side
    23,646.43x = 285,469,060.63
  5. Step 5: Solve for x
    x = 285,469,060.63/23,646.43
  6. Step 6: Final answer
    x = 12,072.40

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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.