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Finding the Fourth Proportional to 19,520, 26,946.24 and 12,815.36

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Solution

The fourth proportional to 19,520, 26,946.24 and 12,815.36 is: 17,690.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,520 : 26,946.24 = 12,815.36 : x
  2. Step 2: Convert to fraction form
    19,520/26,946.24 = 12,815.36/x
  3. Step 3: Cross multiply
    19,520x = 26,946.24 × 12,815.36
  4. Step 4: Simplify right side
    19,520x = 345,325,766.25
  5. Step 5: Solve for x
    x = 345,325,766.25/19,520
  6. Step 6: Final answer
    x = 17,690.87

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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.