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Finding the Fourth Proportional to 19,454.41, 29,179.18 and 5,415.49

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Solution

The fourth proportional to 19,454.41, 29,179.18 and 5,415.49 is: 8,122.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,454.41 : 29,179.18 = 5,415.49 : x
  2. Step 2: Convert to fraction form
    19,454.41/29,179.18 = 5,415.49/x
  3. Step 3: Cross multiply
    19,454.41x = 29,179.18 × 5,415.49
  4. Step 4: Simplify right side
    19,454.41x = 158,019,557.50
  5. Step 5: Solve for x
    x = 158,019,557.50/19,454.41
  6. Step 6: Final answer
    x = 8,122.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.