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Finding the Fourth Proportional to 12,271.92, 16,932.99 and 7,237.74

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Solution

The fourth proportional to 12,271.92, 16,932.99 and 7,237.74 is: 9,986.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,271.92 : 16,932.99 = 7,237.74 : x
  2. Step 2: Convert to fraction form
    12,271.92/16,932.99 = 7,237.74/x
  3. Step 3: Cross multiply
    12,271.92x = 16,932.99 × 7,237.74
  4. Step 4: Simplify right side
    12,271.92x = 122,556,579.04
  5. Step 5: Solve for x
    x = 122,556,579.04/12,271.92
  6. Step 6: Final answer
    x = 9,986.75

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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.