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Finding the Fourth Proportional to 16,837.34, 25,267.01 and 6,449.09

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Solution

The fourth proportional to 16,837.34, 25,267.01 and 6,449.09 is: 9,677.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,837.34 : 25,267.01 = 6,449.09 : x
  2. Step 2: Convert to fraction form
    16,837.34/25,267.01 = 6,449.09/x
  3. Step 3: Cross multiply
    16,837.34x = 25,267.01 × 6,449.09
  4. Step 4: Simplify right side
    16,837.34x = 162,949,062.94
  5. Step 5: Solve for x
    x = 162,949,062.94/16,837.34
  6. Step 6: Final answer
    x = 9,677.84

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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.