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Finding the Fourth Proportional to 16,302, 24,378.24 and 12,144.84

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Solution

The fourth proportional to 16,302, 24,378.24 and 12,144.84 is: 18,161.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,302 : 24,378.24 = 12,144.84 : x
  2. Step 2: Convert to fraction form
    16,302/24,378.24 = 12,144.84/x
  3. Step 3: Cross multiply
    16,302x = 24,378.24 × 12,144.84
  4. Step 4: Simplify right side
    16,302x = 296,069,824.28
  5. Step 5: Solve for x
    x = 296,069,824.28/16,302
  6. Step 6: Final answer
    x = 18,161.56

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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.