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Finding the Fourth Proportional to 12,735.74, 19,108.50 and 6,161.42

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Solution

The fourth proportional to 12,735.74, 19,108.50 and 6,161.42 is: 9,244.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,735.74 : 19,108.50 = 6,161.42 : x
  2. Step 2: Convert to fraction form
    12,735.74/19,108.50 = 6,161.42/x
  3. Step 3: Cross multiply
    12,735.74x = 19,108.50 × 6,161.42
  4. Step 4: Simplify right side
    12,735.74x = 117,735,494.07
  5. Step 5: Solve for x
    x = 117,735,494.07/12,735.74
  6. Step 6: Final answer
    x = 9,244.50

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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.