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Finding the Fourth Proportional to 21,716.07, 29,970 and 12,286.44

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Solution

The fourth proportional to 21,716.07, 29,970 and 12,286.44 is: 16,956.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,716.07 : 29,970 = 12,286.44 : x
  2. Step 2: Convert to fraction form
    21,716.07/29,970 = 12,286.44/x
  3. Step 3: Cross multiply
    21,716.07x = 29,970 × 12,286.44
  4. Step 4: Simplify right side
    21,716.07x = 368,224,606.80
  5. Step 5: Solve for x
    x = 368,224,606.80/21,716.07
  6. Step 6: Final answer
    x = 16,956.32

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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.