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Finding the Fourth Proportional to 21,205.44, 31,809.60 and 10,814.40

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Solution

The fourth proportional to 21,205.44, 31,809.60 and 10,814.40 is: 16,222.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,205.44 : 31,809.60 = 10,814.40 : x
  2. Step 2: Convert to fraction form
    21,205.44/31,809.60 = 10,814.40/x
  3. Step 3: Cross multiply
    21,205.44x = 31,809.60 × 10,814.40
  4. Step 4: Simplify right side
    21,205.44x = 344,001,738.24
  5. Step 5: Solve for x
    x = 344,001,738.24/21,205.44
  6. Step 6: Final answer
    x = 16,222.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.