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Finding the Fourth Proportional to 13,728.34, 18,945.21 and 7,440.76

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Solution

The fourth proportional to 13,728.34, 18,945.21 and 7,440.76 is: 10,268.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,728.34 : 18,945.21 = 7,440.76 : x
  2. Step 2: Convert to fraction form
    13,728.34/18,945.21 = 7,440.76/x
  3. Step 3: Cross multiply
    13,728.34x = 18,945.21 × 7,440.76
  4. Step 4: Simplify right side
    13,728.34x = 140,966,760.76
  5. Step 5: Solve for x
    x = 140,966,760.76/13,728.34
  6. Step 6: Final answer
    x = 10,268.30

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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.