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Finding the Fourth Proportional to 12,131.40, 16,737.18 and 7,352.82

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Solution

The fourth proportional to 12,131.40, 16,737.18 and 7,352.82 is: 10,144.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,131.40 : 16,737.18 = 7,352.82 : x
  2. Step 2: Convert to fraction form
    12,131.40/16,737.18 = 7,352.82/x
  3. Step 3: Cross multiply
    12,131.40x = 16,737.18 × 7,352.82
  4. Step 4: Simplify right side
    12,131.40x = 123,065,471.85
  5. Step 5: Solve for x
    x = 123,065,471.85/12,131.40
  6. Step 6: Final answer
    x = 10,144.38

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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.