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Finding the Fourth Proportional to 21,878.67, 30,193.26 and 12,447.84

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Solution

The fourth proportional to 21,878.67, 30,193.26 and 12,447.84 is: 17,178.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,878.67 : 30,193.26 = 12,447.84 : x
  2. Step 2: Convert to fraction form
    21,878.67/30,193.26 = 12,447.84/x
  3. Step 3: Cross multiply
    21,878.67x = 30,193.26 × 12,447.84
  4. Step 4: Simplify right side
    21,878.67x = 375,840,869.56
  5. Step 5: Solve for x
    x = 375,840,869.56/21,878.67
  6. Step 6: Final answer
    x = 17,178.41

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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.