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Finding the Fourth Proportional to 16,399, 24,600.90 and 5,302

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Solution

The fourth proportional to 16,399, 24,600.90 and 5,302 is: 7,953.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,399 : 24,600.90 = 5,302 : x
  2. Step 2: Convert to fraction form
    16,399/24,600.90 = 5,302/x
  3. Step 3: Cross multiply
    16,399x = 24,600.90 × 5,302
  4. Step 4: Simplify right side
    16,399x = 130,433,971.80
  5. Step 5: Solve for x
    x = 130,433,971.80/16,399
  6. Step 6: Final answer
    x = 7,953.78

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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.