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Finding the Fourth Proportional to 13,407.31, 20,111.99 and 3,546.33

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Solution

The fourth proportional to 13,407.31, 20,111.99 and 3,546.33 is: 5,319.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,407.31 : 20,111.99 = 3,546.33 : x
  2. Step 2: Convert to fraction form
    13,407.31/20,111.99 = 3,546.33/x
  3. Step 3: Cross multiply
    13,407.31x = 20,111.99 × 3,546.33
  4. Step 4: Simplify right side
    13,407.31x = 71,323,753.50
  5. Step 5: Solve for x
    x = 71,323,753.50/13,407.31
  6. Step 6: Final answer
    x = 5,319.77

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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.