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Finding the Fourth Proportional to 13,604.81, 20,415.09 and 5,706.62

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Solution

The fourth proportional to 13,604.81, 20,415.09 and 5,706.62 is: 8,563.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,604.81 : 20,415.09 = 5,706.62 : x
  2. Step 2: Convert to fraction form
    13,604.81/20,415.09 = 5,706.62/x
  3. Step 3: Cross multiply
    13,604.81x = 20,415.09 × 5,706.62
  4. Step 4: Simplify right side
    13,604.81x = 116,501,058.82
  5. Step 5: Solve for x
    x = 116,501,058.82/13,604.81
  6. Step 6: Final answer
    x = 8,563.23

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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.