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Finding the Fourth Proportional to 13,940.95, 19,229.76 and 8,271.69

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Solution

The fourth proportional to 13,940.95, 19,229.76 and 8,271.69 is: 11,409.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,940.95 : 19,229.76 = 8,271.69 : x
  2. Step 2: Convert to fraction form
    13,940.95/19,229.76 = 8,271.69/x
  3. Step 3: Cross multiply
    13,940.95x = 19,229.76 × 8,271.69
  4. Step 4: Simplify right side
    13,940.95x = 159,062,613.49
  5. Step 5: Solve for x
    x = 159,062,613.49/13,940.95
  6. Step 6: Final answer
    x = 11,409.74

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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.