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Finding the Fourth Proportional to 19,400, 26,770.74 and 11,440.40

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Solution

The fourth proportional to 19,400, 26,770.74 and 11,440.40 is: 15,787.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,400 : 26,770.74 = 11,440.40 : x
  2. Step 2: Convert to fraction form
    19,400/26,770.74 = 11,440.40/x
  3. Step 3: Cross multiply
    19,400x = 26,770.74 × 11,440.40
  4. Step 4: Simplify right side
    19,400x = 306,267,973.90
  5. Step 5: Solve for x
    x = 306,267,973.90/19,400
  6. Step 6: Final answer
    x = 15,787.01

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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.