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Finding the Fourth Proportional to 13,728.42, 18,945.29 and 7,440.80

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Solution

The fourth proportional to 13,728.42, 18,945.29 and 7,440.80 is: 10,268.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,728.42 : 18,945.29 = 7,440.80 : x
  2. Step 2: Convert to fraction form
    13,728.42/18,945.29 = 7,440.80/x
  3. Step 3: Cross multiply
    13,728.42x = 18,945.29 × 7,440.80
  4. Step 4: Simplify right side
    13,728.42x = 140,968,037.71
  5. Step 5: Solve for x
    x = 140,968,037.71/13,728.42
  6. Step 6: Final answer
    x = 10,268.34

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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.