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Finding the Fourth Proportional to 21,765.63, 30,036.23 and 12,205.47

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Solution

The fourth proportional to 21,765.63, 30,036.23 and 12,205.47 is: 16,843.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,765.63 : 30,036.23 = 12,205.47 : x
  2. Step 2: Convert to fraction form
    21,765.63/30,036.23 = 12,205.47/x
  3. Step 3: Cross multiply
    21,765.63x = 30,036.23 × 12,205.47
  4. Step 4: Simplify right side
    21,765.63x = 366,606,243.15
  5. Step 5: Solve for x
    x = 366,606,243.15/21,765.63
  6. Step 6: Final answer
    x = 16,843.36

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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.