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Finding the Fourth Proportional to 12,181.88, 16,811.39 and 7,465.25

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Solution

The fourth proportional to 12,181.88, 16,811.39 and 7,465.25 is: 10,302.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,181.88 : 16,811.39 = 7,465.25 : x
  2. Step 2: Convert to fraction form
    12,181.88/16,811.39 = 7,465.25/x
  3. Step 3: Cross multiply
    12,181.88x = 16,811.39 × 7,465.25
  4. Step 4: Simplify right side
    12,181.88x = 125,501,163.80
  5. Step 5: Solve for x
    x = 125,501,163.80/12,181.88
  6. Step 6: Final answer
    x = 10,302.29

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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.