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Finding the Fourth Proportional to 20,794.54, 31,182.59 and 12,896.74

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Solution

The fourth proportional to 20,794.54, 31,182.59 and 12,896.74 is: 19,339.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,794.54 : 31,182.59 = 12,896.74 : x
  2. Step 2: Convert to fraction form
    20,794.54/31,182.59 = 12,896.74/x
  3. Step 3: Cross multiply
    20,794.54x = 31,182.59 × 12,896.74
  4. Step 4: Simplify right side
    20,794.54x = 402,153,579.03
  5. Step 5: Solve for x
    x = 402,153,579.03/20,794.54
  6. Step 6: Final answer
    x = 19,339.38

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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.