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Finding the Fourth Proportional to 20,298.78, 27,994.14 and 12,745.82

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Solution

The fourth proportional to 20,298.78, 27,994.14 and 12,745.82 is: 17,577.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,298.78 : 27,994.14 = 12,745.82 : x
  2. Step 2: Convert to fraction form
    20,298.78/27,994.14 = 12,745.82/x
  3. Step 3: Cross multiply
    20,298.78x = 27,994.14 × 12,745.82
  4. Step 4: Simplify right side
    20,298.78x = 356,808,339.48
  5. Step 5: Solve for x
    x = 356,808,339.48/20,298.78
  6. Step 6: Final answer
    x = 17,577.82

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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.