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Finding the Fourth Proportional to 12,346.96, 18,522.78 and 6,426.67

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Solution

The fourth proportional to 12,346.96, 18,522.78 and 6,426.67 is: 9,641.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,346.96 : 18,522.78 = 6,426.67 : x
  2. Step 2: Convert to fraction form
    12,346.96/18,522.78 = 6,426.67/x
  3. Step 3: Cross multiply
    12,346.96x = 18,522.78 × 6,426.67
  4. Step 4: Simplify right side
    12,346.96x = 119,039,794.54
  5. Step 5: Solve for x
    x = 119,039,794.54/12,346.96
  6. Step 6: Final answer
    x = 9,641.22

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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.