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Finding the Fourth Proportional to 13,728.32, 18,945.18 and 7,440.69

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Solution

The fourth proportional to 13,728.32, 18,945.18 and 7,440.69 is: 10,268.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,728.32 : 18,945.18 = 7,440.69 : x
  2. Step 2: Convert to fraction form
    13,728.32/18,945.18 = 7,440.69/x
  3. Step 3: Cross multiply
    13,728.32x = 18,945.18 × 7,440.69
  4. Step 4: Simplify right side
    13,728.32x = 140,965,282.42
  5. Step 5: Solve for x
    x = 140,965,282.42/13,728.32
  6. Step 6: Final answer
    x = 10,268.21

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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.