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Finding the Fourth Proportional to 16,849, 25,272.46 and 5,161.32

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Solution

The fourth proportional to 16,849, 25,272.46 and 5,161.32 is: 7,741.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,849 : 25,272.46 = 5,161.32 : x
  2. Step 2: Convert to fraction form
    16,849/25,272.46 = 5,161.32/x
  3. Step 3: Cross multiply
    16,849x = 25,272.46 × 5,161.32
  4. Step 4: Simplify right side
    16,849x = 130,439,253.25
  5. Step 5: Solve for x
    x = 130,439,253.25/16,849
  6. Step 6: Final answer
    x = 7,741.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.