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Finding the Fourth Proportional to 19,138.12, 28,499.21 and 19,069

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Solution

The fourth proportional to 19,138.12, 28,499.21 and 19,069 is: 28,396.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,138.12 : 28,499.21 = 19,069 : x
  2. Step 2: Convert to fraction form
    19,138.12/28,499.21 = 19,069/x
  3. Step 3: Cross multiply
    19,138.12x = 28,499.21 × 19,069
  4. Step 4: Simplify right side
    19,138.12x = 543,451,435.49
  5. Step 5: Solve for x
    x = 543,451,435.49/19,138.12
  6. Step 6: Final answer
    x = 28,396.28

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.