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Finding the Fourth Proportional to 16,367.70, 22,586.63 and 9,293.97

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Solution

The fourth proportional to 16,367.70, 22,586.63 and 9,293.97 is: 12,825.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,367.70 : 22,586.63 = 9,293.97 : x
  2. Step 2: Convert to fraction form
    16,367.70/22,586.63 = 9,293.97/x
  3. Step 3: Cross multiply
    16,367.70x = 22,586.63 × 9,293.97
  4. Step 4: Simplify right side
    16,367.70x = 209,919,415.15
  5. Step 5: Solve for x
    x = 209,919,415.15/16,367.70
  6. Step 6: Final answer
    x = 12,825.22

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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.