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Finding the Fourth Proportional to 13,620.37, 18,796.48 and 9,588.47

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Solution

The fourth proportional to 13,620.37, 18,796.48 and 9,588.47 is: 13,232.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,620.37 : 18,796.48 = 9,588.47 : x
  2. Step 2: Convert to fraction form
    13,620.37/18,796.48 = 9,588.47/x
  3. Step 3: Cross multiply
    13,620.37x = 18,796.48 × 9,588.47
  4. Step 4: Simplify right side
    13,620.37x = 180,229,366.63
  5. Step 5: Solve for x
    x = 180,229,366.63/13,620.37
  6. Step 6: Final answer
    x = 13,232.34

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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.