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Finding the Fourth Proportional to 19,946.94, 27,544.50 and 12,406.20

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Solution

The fourth proportional to 19,946.94, 27,544.50 and 12,406.20 is: 17,131.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,946.94 : 27,544.50 = 12,406.20 : x
  2. Step 2: Convert to fraction form
    19,946.94/27,544.50 = 12,406.20/x
  3. Step 3: Cross multiply
    19,946.94x = 27,544.50 × 12,406.20
  4. Step 4: Simplify right side
    19,946.94x = 341,722,575.90
  5. Step 5: Solve for x
    x = 341,722,575.90/19,946.94
  6. Step 6: Final answer
    x = 17,131.58

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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.