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Finding the Fourth Proportional to 16,380.86, 22,609.22 and 10,411.36

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Solution

The fourth proportional to 16,380.86, 22,609.22 and 10,411.36 is: 14,369.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,380.86 : 22,609.22 = 10,411.36 : x
  2. Step 2: Convert to fraction form
    16,380.86/22,609.22 = 10,411.36/x
  3. Step 3: Cross multiply
    16,380.86x = 22,609.22 × 10,411.36
  4. Step 4: Simplify right side
    16,380.86x = 235,392,620.16
  5. Step 5: Solve for x
    x = 235,392,620.16/16,380.86
  6. Step 6: Final answer
    x = 14,369.98

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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.