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Finding the Fourth Proportional to 13,791.48, 19,021.80 and 8,947.32

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Solution

The fourth proportional to 13,791.48, 19,021.80 and 8,947.32 is: 12,340.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,791.48 : 19,021.80 = 8,947.32 : x
  2. Step 2: Convert to fraction form
    13,791.48/19,021.80 = 8,947.32/x
  3. Step 3: Cross multiply
    13,791.48x = 19,021.80 × 8,947.32
  4. Step 4: Simplify right side
    13,791.48x = 170,194,131.58
  5. Step 5: Solve for x
    x = 170,194,131.58/13,791.48
  6. Step 6: Final answer
    x = 12,340.53

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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.