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Finding the Fourth Proportional to 12,954.95, 19,435.25 and 4,189.73

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Solution

The fourth proportional to 12,954.95, 19,435.25 and 4,189.73 is: 6,285.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,954.95 : 19,435.25 = 4,189.73 : x
  2. Step 2: Convert to fraction form
    12,954.95/19,435.25 = 4,189.73/x
  3. Step 3: Cross multiply
    12,954.95x = 19,435.25 × 4,189.73
  4. Step 4: Simplify right side
    12,954.95x = 81,428,509.04
  5. Step 5: Solve for x
    x = 81,428,509.04/12,954.95
  6. Step 6: Final answer
    x = 6,285.52

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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.