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Finding the Fourth Proportional to 12,471.36, 18,706.50 and 3,111.42

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Solution

The fourth proportional to 12,471.36, 18,706.50 and 3,111.42 is: 4,667.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,471.36 : 18,706.50 = 3,111.42 : x
  2. Step 2: Convert to fraction form
    12,471.36/18,706.50 = 3,111.42/x
  3. Step 3: Cross multiply
    12,471.36x = 18,706.50 × 3,111.42
  4. Step 4: Simplify right side
    12,471.36x = 58,203,778.23
  5. Step 5: Solve for x
    x = 58,203,778.23/12,471.36
  6. Step 6: Final answer
    x = 4,667.00

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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.