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Finding the Fourth Proportional to 16,204.41, 22,367.03 and 9,400.15

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Solution

The fourth proportional to 16,204.41, 22,367.03 and 9,400.15 is: 12,975.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,204.41 : 22,367.03 = 9,400.15 : x
  2. Step 2: Convert to fraction form
    16,204.41/22,367.03 = 9,400.15/x
  3. Step 3: Cross multiply
    16,204.41x = 22,367.03 × 9,400.15
  4. Step 4: Simplify right side
    16,204.41x = 210,253,334.14
  5. Step 5: Solve for x
    x = 210,253,334.14/16,204.41
  6. Step 6: Final answer
    x = 12,975.07

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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.