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Finding the Fourth Proportional to 13,205.70, 18,223.84 and 7,237.37

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Solution

The fourth proportional to 13,205.70, 18,223.84 and 7,237.37 is: 9,987.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,205.70 : 18,223.84 = 7,237.37 : x
  2. Step 2: Convert to fraction form
    13,205.70/18,223.84 = 7,237.37/x
  3. Step 3: Cross multiply
    13,205.70x = 18,223.84 × 7,237.37
  4. Step 4: Simplify right side
    13,205.70x = 131,892,672.90
  5. Step 5: Solve for x
    x = 131,892,672.90/13,205.70
  6. Step 6: Final answer
    x = 9,987.56

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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.