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Finding the Fourth Proportional to 21,920.86, 30,252.64 and 13,422.94

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Solution

The fourth proportional to 21,920.86, 30,252.64 and 13,422.94 is: 18,524.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,920.86 : 30,252.64 = 13,422.94 : x
  2. Step 2: Convert to fraction form
    21,920.86/30,252.64 = 13,422.94/x
  3. Step 3: Cross multiply
    21,920.86x = 30,252.64 × 13,422.94
  4. Step 4: Simplify right side
    21,920.86x = 406,079,371.56
  5. Step 5: Solve for x
    x = 406,079,371.56/21,920.86
  6. Step 6: Final answer
    x = 18,524.79

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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.