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Finding the Fourth Proportional to 23,847.88, 35,732.92 and 12,145

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Solution

The fourth proportional to 23,847.88, 35,732.92 and 12,145 is: 18,197.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,847.88 : 35,732.92 = 12,145 : x
  2. Step 2: Convert to fraction form
    23,847.88/35,732.92 = 12,145/x
  3. Step 3: Cross multiply
    23,847.88x = 35,732.92 × 12,145
  4. Step 4: Simplify right side
    23,847.88x = 433,976,313.40
  5. Step 5: Solve for x
    x = 433,976,313.40/23,847.88
  6. Step 6: Final answer
    x = 18,197.69

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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.