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Finding the Fourth Proportional to 21,900.34, 30,222.46 and 11,828.78

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Solution

The fourth proportional to 21,900.34, 30,222.46 and 11,828.78 is: 16,323.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,900.34 : 30,222.46 = 11,828.78 : x
  2. Step 2: Convert to fraction form
    21,900.34/30,222.46 = 11,828.78/x
  3. Step 3: Cross multiply
    21,900.34x = 30,222.46 × 11,828.78
  4. Step 4: Simplify right side
    21,900.34x = 357,494,830.40
  5. Step 5: Solve for x
    x = 357,494,830.40/21,900.34
  6. Step 6: Final answer
    x = 16,323.71

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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.