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Finding the Fourth Proportional to 16,850, 25,273.96 and 5,162.32

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Solution

The fourth proportional to 16,850, 25,273.96 and 5,162.32 is: 7,743.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,850 : 25,273.96 = 5,162.32 : x
  2. Step 2: Convert to fraction form
    16,850/25,273.96 = 5,162.32/x
  3. Step 3: Cross multiply
    16,850x = 25,273.96 × 5,162.32
  4. Step 4: Simplify right side
    16,850x = 130,472,269.19
  5. Step 5: Solve for x
    x = 130,472,269.19/16,850
  6. Step 6: Final answer
    x = 7,743.16

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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.