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Finding the Fourth Proportional to 12,318.25, 18,409.87 and 8,993.50

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Solution

The fourth proportional to 12,318.25, 18,409.87 and 8,993.50 is: 13,440.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,318.25 : 18,409.87 = 8,993.50 : x
  2. Step 2: Convert to fraction form
    12,318.25/18,409.87 = 8,993.50/x
  3. Step 3: Cross multiply
    12,318.25x = 18,409.87 × 8,993.50
  4. Step 4: Simplify right side
    12,318.25x = 165,569,074.85
  5. Step 5: Solve for x
    x = 165,569,074.85/12,318.25
  6. Step 6: Final answer
    x = 13,440.96

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.