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Finding the Fourth Proportional to 12,273.14, 16,938.75 and 7,235.75

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Solution

The fourth proportional to 12,273.14, 16,938.75 and 7,235.75 is: 9,986.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,273.14 : 16,938.75 = 7,235.75 : x
  2. Step 2: Convert to fraction form
    12,273.14/16,938.75 = 7,235.75/x
  3. Step 3: Cross multiply
    12,273.14x = 16,938.75 × 7,235.75
  4. Step 4: Simplify right side
    12,273.14x = 122,564,560.31
  5. Step 5: Solve for x
    x = 122,564,560.31/12,273.14
  6. Step 6: Final answer
    x = 9,986.41

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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.