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Finding the Fourth Proportional to 16,394.50, 22,624.41 and 9,321.40

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Solution

The fourth proportional to 16,394.50, 22,624.41 and 9,321.40 is: 12,863.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,394.50 : 22,624.41 = 9,321.40 : x
  2. Step 2: Convert to fraction form
    16,394.50/22,624.41 = 9,321.40/x
  3. Step 3: Cross multiply
    16,394.50x = 22,624.41 × 9,321.40
  4. Step 4: Simplify right side
    16,394.50x = 210,891,175.37
  5. Step 5: Solve for x
    x = 210,891,175.37/16,394.50
  6. Step 6: Final answer
    x = 12,863.53

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.