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Finding the Fourth Proportional to 13,370.72, 18,453.61 and 7,706.31

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Solution

The fourth proportional to 13,370.72, 18,453.61 and 7,706.31 is: 10,635.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,370.72 : 18,453.61 = 7,706.31 : x
  2. Step 2: Convert to fraction form
    13,370.72/18,453.61 = 7,706.31/x
  3. Step 3: Cross multiply
    13,370.72x = 18,453.61 × 7,706.31
  4. Step 4: Simplify right side
    13,370.72x = 142,209,179.71
  5. Step 5: Solve for x
    x = 142,209,179.71/13,370.72
  6. Step 6: Final answer
    x = 10,635.87

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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.