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Finding the Fourth Proportional to 19,556.76, 26,981.26 and 12,846

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Solution

The fourth proportional to 19,556.76, 26,981.26 and 12,846 is: 17,722.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,556.76 : 26,981.26 = 12,846 : x
  2. Step 2: Convert to fraction form
    19,556.76/26,981.26 = 12,846/x
  3. Step 3: Cross multiply
    19,556.76x = 26,981.26 × 12,846
  4. Step 4: Simplify right side
    19,556.76x = 346,601,233.85
  5. Step 5: Solve for x
    x = 346,601,233.85/19,556.76
  6. Step 6: Final answer
    x = 17,722.84

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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.