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Finding the Fourth Proportional to 16,209.86, 22,377.08 and 9,494.56

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Solution

The fourth proportional to 16,209.86, 22,377.08 and 9,494.56 is: 13,106.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,209.86 : 22,377.08 = 9,494.56 : x
  2. Step 2: Convert to fraction form
    16,209.86/22,377.08 = 9,494.56/x
  3. Step 3: Cross multiply
    16,209.86x = 22,377.08 × 9,494.56
  4. Step 4: Simplify right side
    16,209.86x = 212,460,528.68
  5. Step 5: Solve for x
    x = 212,460,528.68/16,209.86
  6. Step 6: Final answer
    x = 13,106.87

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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.