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Finding the Fourth Proportional to 19,276.95, 28,919.67 and 8,193.12

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Solution

The fourth proportional to 19,276.95, 28,919.67 and 8,193.12 is: 12,291.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,276.95 : 28,919.67 = 8,193.12 : x
  2. Step 2: Convert to fraction form
    19,276.95/28,919.67 = 8,193.12/x
  3. Step 3: Cross multiply
    19,276.95x = 28,919.67 × 8,193.12
  4. Step 4: Simplify right side
    19,276.95x = 236,942,187.50
  5. Step 5: Solve for x
    x = 236,942,187.50/19,276.95
  6. Step 6: Final answer
    x = 12,291.47

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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.