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Finding the Fourth Proportional to 13,945.95, 20,918.97 and 9,804.49

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Solution

The fourth proportional to 13,945.95, 20,918.97 and 9,804.49 is: 14,706.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,945.95 : 20,918.97 = 9,804.49 : x
  2. Step 2: Convert to fraction form
    13,945.95/20,918.97 = 9,804.49/x
  3. Step 3: Cross multiply
    13,945.95x = 20,918.97 × 9,804.49
  4. Step 4: Simplify right side
    13,945.95x = 205,099,832.18
  5. Step 5: Solve for x
    x = 205,099,832.18/13,945.95
  6. Step 6: Final answer
    x = 14,706.77

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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.