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Finding the Fourth Proportional to 16,375.82, 22,575.74 and 13,847.78

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Solution

The fourth proportional to 16,375.82, 22,575.74 and 13,847.78 is: 19,090.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,375.82 : 22,575.74 = 13,847.78 : x
  2. Step 2: Convert to fraction form
    16,375.82/22,575.74 = 13,847.78/x
  3. Step 3: Cross multiply
    16,375.82x = 22,575.74 × 13,847.78
  4. Step 4: Simplify right side
    16,375.82x = 312,623,880.86
  5. Step 5: Solve for x
    x = 312,623,880.86/16,375.82
  6. Step 6: Final answer
    x = 19,090.58

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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.