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Finding the Fourth Proportional to 12,853.69, 19,273.37 and 3,966.50

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Solution

The fourth proportional to 12,853.69, 19,273.37 and 3,966.50 is: 5,947.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,853.69 : 19,273.37 = 3,966.50 : x
  2. Step 2: Convert to fraction form
    12,853.69/19,273.37 = 3,966.50/x
  3. Step 3: Cross multiply
    12,853.69x = 19,273.37 × 3,966.50
  4. Step 4: Simplify right side
    12,853.69x = 76,447,822.11
  5. Step 5: Solve for x
    x = 76,447,822.11/12,853.69
  6. Step 6: Final answer
    x = 5,947.54

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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.