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Finding the Fourth Proportional to 12,288.96, 18,394.32 and 8,815.68

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Solution

The fourth proportional to 12,288.96, 18,394.32 and 8,815.68 is: 13,195.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,288.96 : 18,394.32 = 8,815.68 : x
  2. Step 2: Convert to fraction form
    12,288.96/18,394.32 = 8,815.68/x
  3. Step 3: Cross multiply
    12,288.96x = 18,394.32 × 8,815.68
  4. Step 4: Simplify right side
    12,288.96x = 162,158,438.94
  5. Step 5: Solve for x
    x = 162,158,438.94/12,288.96
  6. Step 6: Final answer
    x = 13,195.46

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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.