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Finding the Fourth Proportional to 16,207.84, 24,311.76 and 8,400.26

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Solution

The fourth proportional to 16,207.84, 24,311.76 and 8,400.26 is: 12,600.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,207.84 : 24,311.76 = 8,400.26 : x
  2. Step 2: Convert to fraction form
    16,207.84/24,311.76 = 8,400.26/x
  3. Step 3: Cross multiply
    16,207.84x = 24,311.76 × 8,400.26
  4. Step 4: Simplify right side
    16,207.84x = 204,225,105.06
  5. Step 5: Solve for x
    x = 204,225,105.06/16,207.84
  6. Step 6: Final answer
    x = 12,600.39

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1.5x scale

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.