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Finding the Fourth Proportional to 12,137.56, 18,208.42 and 5,564.31

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Solution

The fourth proportional to 12,137.56, 18,208.42 and 5,564.31 is: 8,347.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,137.56 : 18,208.42 = 5,564.31 : x
  2. Step 2: Convert to fraction form
    12,137.56/18,208.42 = 5,564.31/x
  3. Step 3: Cross multiply
    12,137.56x = 18,208.42 × 5,564.31
  4. Step 4: Simplify right side
    12,137.56x = 101,317,211.30
  5. Step 5: Solve for x
    x = 101,317,211.30/12,137.56
  6. Step 6: Final answer
    x = 8,347.41

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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.