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Finding the Fourth Proportional to 12,805.50, 19,215.81 and 5,409.48

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Solution

The fourth proportional to 12,805.50, 19,215.81 and 5,409.48 is: 8,117.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,805.50 : 19,215.81 = 5,409.48 : x
  2. Step 2: Convert to fraction form
    12,805.50/19,215.81 = 5,409.48/x
  3. Step 3: Cross multiply
    12,805.50x = 19,215.81 × 5,409.48
  4. Step 4: Simplify right side
    12,805.50x = 103,947,539.88
  5. Step 5: Solve for x
    x = 103,947,539.88/12,805.50
  6. Step 6: Final answer
    x = 8,117.41

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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.