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Finding the Fourth Proportional to 20,577.78, 30,809.16 and 13,163.58

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Solution

The fourth proportional to 20,577.78, 30,809.16 and 13,163.58 is: 19,708.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,577.78 : 30,809.16 = 13,163.58 : x
  2. Step 2: Convert to fraction form
    20,577.78/30,809.16 = 13,163.58/x
  3. Step 3: Cross multiply
    20,577.78x = 30,809.16 × 13,163.58
  4. Step 4: Simplify right side
    20,577.78x = 405,558,842.39
  5. Step 5: Solve for x
    x = 405,558,842.39/20,577.78
  6. Step 6: Final answer
    x = 19,708.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.