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Finding the Fourth Proportional to 12,132.75, 18,202.14 and 9,643.33

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Solution

The fourth proportional to 12,132.75, 18,202.14 and 9,643.33 is: 14,467.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,132.75 : 18,202.14 = 9,643.33 : x
  2. Step 2: Convert to fraction form
    12,132.75/18,202.14 = 9,643.33/x
  3. Step 3: Cross multiply
    12,132.75x = 18,202.14 × 9,643.33
  4. Step 4: Simplify right side
    12,132.75x = 175,529,139.66
  5. Step 5: Solve for x
    x = 175,529,139.66/12,132.75
  6. Step 6: Final answer
    x = 14,467.39

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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.