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Finding the Fourth Proportional to 12,131.18, 16,745.37 and 7,415.90

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Solution

The fourth proportional to 12,131.18, 16,745.37 and 7,415.90 is: 10,236.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,131.18 : 16,745.37 = 7,415.90 : x
  2. Step 2: Convert to fraction form
    12,131.18/16,745.37 = 7,415.90/x
  3. Step 3: Cross multiply
    12,131.18x = 16,745.37 × 7,415.90
  4. Step 4: Simplify right side
    12,131.18x = 124,181,989.38
  5. Step 5: Solve for x
    x = 124,181,989.38/12,131.18
  6. Step 6: Final answer
    x = 10,236.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.