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Finding the Fourth Proportional to 12,274.75, 18,412.13 and 3,040.75

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Solution

The fourth proportional to 12,274.75, 18,412.13 and 3,040.75 is: 4,561.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,274.75 : 18,412.13 = 3,040.75 : x
  2. Step 2: Convert to fraction form
    12,274.75/18,412.13 = 3,040.75/x
  3. Step 3: Cross multiply
    12,274.75x = 18,412.13 × 3,040.75
  4. Step 4: Simplify right side
    12,274.75x = 55,986,684.30
  5. Step 5: Solve for x
    x = 55,986,684.30/12,274.75
  6. Step 6: Final answer
    x = 4,561.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.