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Finding the Fourth Proportional to 12,879.14, 19,282.26 and 8,187.50

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Solution

The fourth proportional to 12,879.14, 19,282.26 and 8,187.50 is: 12,258.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,879.14 : 19,282.26 = 8,187.50 : x
  2. Step 2: Convert to fraction form
    12,879.14/19,282.26 = 8,187.50/x
  3. Step 3: Cross multiply
    12,879.14x = 19,282.26 × 8,187.50
  4. Step 4: Simplify right side
    12,879.14x = 157,873,503.75
  5. Step 5: Solve for x
    x = 157,873,503.75/12,879.14
  6. Step 6: Final answer
    x = 12,258.08

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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.