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Finding the Fourth Proportional to 15,801.50, 23,716.82 and 8,015.78

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Solution

The fourth proportional to 15,801.50, 23,716.82 and 8,015.78 is: 12,031.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,801.50 : 23,716.82 = 8,015.78 : x
  2. Step 2: Convert to fraction form
    15,801.50/23,716.82 = 8,015.78/x
  3. Step 3: Cross multiply
    15,801.50x = 23,716.82 × 8,015.78
  4. Step 4: Simplify right side
    15,801.50x = 190,108,811.42
  5. Step 5: Solve for x
    x = 190,108,811.42/15,801.50
  6. Step 6: Final answer
    x = 12,031.06

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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.