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Finding the Fourth Proportional to 13,728.54, 18,938.84 and 9,945.57

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Solution

The fourth proportional to 13,728.54, 18,938.84 and 9,945.57 is: 13,720.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,728.54 : 18,938.84 = 9,945.57 : x
  2. Step 2: Convert to fraction form
    13,728.54/18,938.84 = 9,945.57/x
  3. Step 3: Cross multiply
    13,728.54x = 18,938.84 × 9,945.57
  4. Step 4: Simplify right side
    13,728.54x = 188,357,509.21
  5. Step 5: Solve for x
    x = 188,357,509.21/13,728.54
  6. Step 6: Final answer
    x = 13,720.14

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.