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Finding the Fourth Proportional to 16,209.68, 22,378.16 and 11,200.86

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Solution

The fourth proportional to 16,209.68, 22,378.16 and 11,200.86 is: 15,463.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,209.68 : 22,378.16 = 11,200.86 : x
  2. Step 2: Convert to fraction form
    16,209.68/22,378.16 = 11,200.86/x
  3. Step 3: Cross multiply
    16,209.68x = 22,378.16 × 11,200.86
  4. Step 4: Simplify right side
    16,209.68x = 250,654,665.22
  5. Step 5: Solve for x
    x = 250,654,665.22/16,209.68
  6. Step 6: Final answer
    x = 15,463.28

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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.