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Finding the Fourth Proportional to 12,901.34, 19,355.34 and 4,136.33

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Solution

The fourth proportional to 12,901.34, 19,355.34 and 4,136.33 is: 6,205.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,901.34 : 19,355.34 = 4,136.33 : x
  2. Step 2: Convert to fraction form
    12,901.34/19,355.34 = 4,136.33/x
  3. Step 3: Cross multiply
    12,901.34x = 19,355.34 × 4,136.33
  4. Step 4: Simplify right side
    12,901.34x = 80,060,073.50
  5. Step 5: Solve for x
    x = 80,060,073.50/12,901.34
  6. Step 6: Final answer
    x = 6,205.56

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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.