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Finding the Fourth Proportional to 20,414, 28,083.84 and 19,539.20

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Solution

The fourth proportional to 20,414, 28,083.84 and 19,539.20 is: 26,880.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,414 : 28,083.84 = 19,539.20 : x
  2. Step 2: Convert to fraction form
    20,414/28,083.84 = 19,539.20/x
  3. Step 3: Cross multiply
    20,414x = 28,083.84 × 19,539.20
  4. Step 4: Simplify right side
    20,414x = 548,735,766.53
  5. Step 5: Solve for x
    x = 548,735,766.53/20,414
  6. Step 6: Final answer
    x = 26,880.36

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.