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Finding the Fourth Proportional to 12,313.76, 18,473.28 and 3,994.24

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Solution

The fourth proportional to 12,313.76, 18,473.28 and 3,994.24 is: 5,992.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,313.76 : 18,473.28 = 3,994.24 : x
  2. Step 2: Convert to fraction form
    12,313.76/18,473.28 = 3,994.24/x
  3. Step 3: Cross multiply
    12,313.76x = 18,473.28 × 3,994.24
  4. Step 4: Simplify right side
    12,313.76x = 73,786,713.91
  5. Step 5: Solve for x
    x = 73,786,713.91/12,313.76
  6. Step 6: Final answer
    x = 5,992.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.