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Finding the Fourth Proportional to 13,382.31, 18,470.66 and 8,906.25

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Solution

The fourth proportional to 13,382.31, 18,470.66 and 8,906.25 is: 12,292.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,382.31 : 18,470.66 = 8,906.25 : x
  2. Step 2: Convert to fraction form
    13,382.31/18,470.66 = 8,906.25/x
  3. Step 3: Cross multiply
    13,382.31x = 18,470.66 × 8,906.25
  4. Step 4: Simplify right side
    13,382.31x = 164,504,315.63
  5. Step 5: Solve for x
    x = 164,504,315.63/13,382.31
  6. Step 6: Final answer
    x = 12,292.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.