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Finding the Fourth Proportional to 16,249.68, 24,384.06 and 6,390

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Solution

The fourth proportional to 16,249.68, 24,384.06 and 6,390 is: 9,588.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,249.68 : 24,384.06 = 6,390 : x
  2. Step 2: Convert to fraction form
    16,249.68/24,384.06 = 6,390/x
  3. Step 3: Cross multiply
    16,249.68x = 24,384.06 × 6,390
  4. Step 4: Simplify right side
    16,249.68x = 155,814,143.40
  5. Step 5: Solve for x
    x = 155,814,143.40/16,249.68
  6. Step 6: Final answer
    x = 9,588.75

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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.