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Finding the Fourth Proportional to 16,367.16, 22,586.84 and 9,293.73

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Solution

The fourth proportional to 16,367.16, 22,586.84 and 9,293.73 is: 12,825.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,367.16 : 22,586.84 = 9,293.73 : x
  2. Step 2: Convert to fraction form
    16,367.16/22,586.84 = 9,293.73/x
  3. Step 3: Cross multiply
    16,367.16x = 22,586.84 × 9,293.73
  4. Step 4: Simplify right side
    16,367.16x = 209,915,946.04
  5. Step 5: Solve for x
    x = 209,915,946.04/16,367.16
  6. Step 6: Final answer
    x = 12,825.43

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