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Finding the Fourth Proportional to 12,872.66, 19,309.86 and 4,108.23

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Solution

The fourth proportional to 12,872.66, 19,309.86 and 4,108.23 is: 6,162.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,872.66 : 19,309.86 = 4,108.23 : x
  2. Step 2: Convert to fraction form
    12,872.66/19,309.86 = 4,108.23/x
  3. Step 3: Cross multiply
    12,872.66x = 19,309.86 × 4,108.23
  4. Step 4: Simplify right side
    12,872.66x = 79,329,346.15
  5. Step 5: Solve for x
    x = 79,329,346.15/12,872.66
  6. Step 6: Final answer
    x = 6,162.63

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