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Finding the Fourth Proportional to 21,767.82, 30,036.26 and 12,208.20

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Solution

The fourth proportional to 21,767.82, 30,036.26 and 12,208.20 is: 16,845.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,767.82 : 30,036.26 = 12,208.20 : x
  2. Step 2: Convert to fraction form
    21,767.82/30,036.26 = 12,208.20/x
  3. Step 3: Cross multiply
    21,767.82x = 30,036.26 × 12,208.20
  4. Step 4: Simplify right side
    21,767.82x = 366,688,669.33
  5. Step 5: Solve for x
    x = 366,688,669.33/21,767.82
  6. Step 6: Final answer
    x = 16,845.45

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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.