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Finding the Fourth Proportional to 14,641.07, 20,203.96 and 8,268.39

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Solution

The fourth proportional to 14,641.07, 20,203.96 and 8,268.39 is: 11,409.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,641.07 : 20,203.96 = 8,268.39 : x
  2. Step 2: Convert to fraction form
    14,641.07/20,203.96 = 8,268.39/x
  3. Step 3: Cross multiply
    14,641.07x = 20,203.96 × 8,268.39
  4. Step 4: Simplify right side
    14,641.07x = 167,054,220.82
  5. Step 5: Solve for x
    x = 167,054,220.82/14,641.07
  6. Step 6: Final answer
    x = 11,409.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.