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Finding the Fourth Proportional to 21,780.78, 30,057.07 and 12,220.84

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Solution

The fourth proportional to 21,780.78, 30,057.07 and 12,220.84 is: 16,864.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,780.78 : 30,057.07 = 12,220.84 : x
  2. Step 2: Convert to fraction form
    21,780.78/30,057.07 = 12,220.84/x
  3. Step 3: Cross multiply
    21,780.78x = 30,057.07 × 12,220.84
  4. Step 4: Simplify right side
    21,780.78x = 367,322,643.34
  5. Step 5: Solve for x
    x = 367,322,643.34/21,780.78
  6. Step 6: Final answer
    x = 16,864.53

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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.