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Finding the Fourth Proportional to 12,863.81, 19,277.19 and 9,338.49

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Solution

The fourth proportional to 12,863.81, 19,277.19 and 9,338.49 is: 13,994.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,863.81 : 19,277.19 = 9,338.49 : x
  2. Step 2: Convert to fraction form
    12,863.81/19,277.19 = 9,338.49/x
  3. Step 3: Cross multiply
    12,863.81x = 19,277.19 × 9,338.49
  4. Step 4: Simplify right side
    12,863.81x = 180,019,846.04
  5. Step 5: Solve for x
    x = 180,019,846.04/12,863.81
  6. Step 6: Final answer
    x = 13,994.28

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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.