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Finding the Fourth Proportional to 21,779, 30,057.74 and 12,947

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Solution

The fourth proportional to 21,779, 30,057.74 and 12,947 is: 17,868.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,779 : 30,057.74 = 12,947 : x
  2. Step 2: Convert to fraction form
    21,779/30,057.74 = 12,947/x
  3. Step 3: Cross multiply
    21,779x = 30,057.74 × 12,947
  4. Step 4: Simplify right side
    21,779x = 389,157,559.78
  5. Step 5: Solve for x
    x = 389,157,559.78/21,779
  6. Step 6: Final answer
    x = 17,868.48

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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.