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Finding the Fourth Proportional to 19,378.32, 26,733.96 and 11,922

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Solution

The fourth proportional to 19,378.32, 26,733.96 and 11,922 is: 16,447.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,378.32 : 26,733.96 = 11,922 : x
  2. Step 2: Convert to fraction form
    19,378.32/26,733.96 = 11,922/x
  3. Step 3: Cross multiply
    19,378.32x = 26,733.96 × 11,922
  4. Step 4: Simplify right side
    19,378.32x = 318,722,271.12
  5. Step 5: Solve for x
    x = 318,722,271.12/19,378.32
  6. Step 6: Final answer
    x = 16,447.36

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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.