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Finding the Fourth Proportional to 19,949.94, 27,548.64 and 12,409.20

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Solution

The fourth proportional to 19,949.94, 27,548.64 and 12,409.20 is: 17,135.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,949.94 : 27,548.64 = 12,409.20 : x
  2. Step 2: Convert to fraction form
    19,949.94/27,548.64 = 12,409.20/x
  3. Step 3: Cross multiply
    19,949.94x = 27,548.64 × 12,409.20
  4. Step 4: Simplify right side
    19,949.94x = 341,856,583.49
  5. Step 5: Solve for x
    x = 341,856,583.49/19,949.94
  6. Step 6: Final answer
    x = 17,135.72

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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.