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Finding the Fourth Proportional to 16,869.64, 25,305.64 and 6,481.36

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Solution

The fourth proportional to 16,869.64, 25,305.64 and 6,481.36 is: 9,722.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,869.64 : 25,305.64 = 6,481.36 : x
  2. Step 2: Convert to fraction form
    16,869.64/25,305.64 = 6,481.36/x
  3. Step 3: Cross multiply
    16,869.64x = 25,305.64 × 6,481.36
  4. Step 4: Simplify right side
    16,869.64x = 164,014,962.87
  5. Step 5: Solve for x
    x = 164,014,962.87/16,869.64
  6. Step 6: Final answer
    x = 9,722.49

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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.