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Finding the Fourth Proportional to 22,408.14, 30,921.42 and 12,977.31

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Solution

The fourth proportional to 22,408.14, 30,921.42 and 12,977.31 is: 17,907.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,408.14 : 30,921.42 = 12,977.31 : x
  2. Step 2: Convert to fraction form
    22,408.14/30,921.42 = 12,977.31/x
  3. Step 3: Cross multiply
    22,408.14x = 30,921.42 × 12,977.31
  4. Step 4: Simplify right side
    22,408.14x = 401,276,852.98
  5. Step 5: Solve for x
    x = 401,276,852.98/22,408.14
  6. Step 6: Final answer
    x = 17,907.64

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