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Finding the Fourth Proportional to 13,905.78, 20,844.09 and 6,504

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Solution

The fourth proportional to 13,905.78, 20,844.09 and 6,504 is: 9,749.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,905.78 : 20,844.09 = 6,504 : x
  2. Step 2: Convert to fraction form
    13,905.78/20,844.09 = 6,504/x
  3. Step 3: Cross multiply
    13,905.78x = 20,844.09 × 6,504
  4. Step 4: Simplify right side
    13,905.78x = 135,569,961.36
  5. Step 5: Solve for x
    x = 135,569,961.36/13,905.78
  6. Step 6: Final answer
    x = 9,749.18

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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.