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Finding the Fourth Proportional to 12,974.95, 19,459.18 and 4,212.37

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Solution

The fourth proportional to 12,974.95, 19,459.18 and 4,212.37 is: 6,317.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,974.95 : 19,459.18 = 4,212.37 : x
  2. Step 2: Convert to fraction form
    12,974.95/19,459.18 = 4,212.37/x
  3. Step 3: Cross multiply
    12,974.95x = 19,459.18 × 4,212.37
  4. Step 4: Simplify right side
    12,974.95x = 81,969,147.70
  5. Step 5: Solve for x
    x = 81,969,147.70/12,974.95
  6. Step 6: Final answer
    x = 6,317.49

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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.