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Finding the Fourth Proportional to 16,206.86, 22,372.94 and 9,491.56

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Solution

The fourth proportional to 16,206.86, 22,372.94 and 9,491.56 is: 13,102.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,206.86 : 22,372.94 = 9,491.56 : x
  2. Step 2: Convert to fraction form
    16,206.86/22,372.94 = 9,491.56/x
  3. Step 3: Cross multiply
    16,206.86x = 22,372.94 × 9,491.56
  4. Step 4: Simplify right side
    16,206.86x = 212,354,102.39
  5. Step 5: Solve for x
    x = 212,354,102.39/16,206.86
  6. Step 6: Final answer
    x = 13,102.73

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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.