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Finding the Fourth Proportional to 13,728.12, 18,944.64 and 7,440.42

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Solution

The fourth proportional to 13,728.12, 18,944.64 and 7,440.42 is: 10,267.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,728.12 : 18,944.64 = 7,440.42 : x
  2. Step 2: Convert to fraction form
    13,728.12/18,944.64 = 7,440.42/x
  3. Step 3: Cross multiply
    13,728.12x = 18,944.64 × 7,440.42
  4. Step 4: Simplify right side
    13,728.12x = 140,956,078.35
  5. Step 5: Solve for x
    x = 140,956,078.35/13,728.12
  6. Step 6: Final answer
    x = 10,267.69

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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.