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Finding the Fourth Proportional to 12,271.20, 16,934.94 and 7,238.38

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Solution

The fourth proportional to 12,271.20, 16,934.94 and 7,238.38 is: 9,989.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,271.20 : 16,934.94 = 7,238.38 : x
  2. Step 2: Convert to fraction form
    12,271.20/16,934.94 = 7,238.38/x
  3. Step 3: Cross multiply
    12,271.20x = 16,934.94 × 7,238.38
  4. Step 4: Simplify right side
    12,271.20x = 122,581,531.00
  5. Step 5: Solve for x
    x = 122,581,531.00/12,271.20
  6. Step 6: Final answer
    x = 9,989.37

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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.