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Finding the Fourth Proportional to 16,524, 24,786 and 15,693.48

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Solution

The fourth proportional to 16,524, 24,786 and 15,693.48 is: 23,540.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,524 : 24,786 = 15,693.48 : x
  2. Step 2: Convert to fraction form
    16,524/24,786 = 15,693.48/x
  3. Step 3: Cross multiply
    16,524x = 24,786 × 15,693.48
  4. Step 4: Simplify right side
    16,524x = 388,978,595.28
  5. Step 5: Solve for x
    x = 388,978,595.28/16,524
  6. Step 6: Final answer
    x = 23,540.22

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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.