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Finding the Fourth Proportional to 13,728.36, 18,945.14 and 7,440.76

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Solution

The fourth proportional to 13,728.36, 18,945.14 and 7,440.76 is: 10,268.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,728.36 : 18,945.14 = 7,440.76 : x
  2. Step 2: Convert to fraction form
    13,728.36/18,945.14 = 7,440.76/x
  3. Step 3: Cross multiply
    13,728.36x = 18,945.14 × 7,440.76
  4. Step 4: Simplify right side
    13,728.36x = 140,966,239.91
  5. Step 5: Solve for x
    x = 140,966,239.91/13,728.36
  6. Step 6: Final answer
    x = 10,268.25

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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.