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Finding the Fourth Proportional to 13,189.44, 19,784.16 and 4,424.33

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Solution

The fourth proportional to 13,189.44, 19,784.16 and 4,424.33 is: 6,636.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,189.44 : 19,784.16 = 4,424.33 : x
  2. Step 2: Convert to fraction form
    13,189.44/19,784.16 = 4,424.33/x
  3. Step 3: Cross multiply
    13,189.44x = 19,784.16 × 4,424.33
  4. Step 4: Simplify right side
    13,189.44x = 87,531,531.57
  5. Step 5: Solve for x
    x = 87,531,531.57/13,189.44
  6. Step 6: Final answer
    x = 6,636.49

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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.