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Finding the Fourth Proportional to 13,205.87, 18,224.25 and 7,237.41

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Solution

The fourth proportional to 13,205.87, 18,224.25 and 7,237.41 is: 9,987.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,205.87 : 18,224.25 = 7,237.41 : x
  2. Step 2: Convert to fraction form
    13,205.87/18,224.25 = 7,237.41/x
  3. Step 3: Cross multiply
    13,205.87x = 18,224.25 × 7,237.41
  4. Step 4: Simplify right side
    13,205.87x = 131,896,333.01
  5. Step 5: Solve for x
    x = 131,896,333.01/13,205.87
  6. Step 6: Final answer
    x = 9,987.70

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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.