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Finding the Fourth Proportional to 12,908.67, 19,364.63 and 4,141.23

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Solution

The fourth proportional to 12,908.67, 19,364.63 and 4,141.23 is: 6,212.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,908.67 : 19,364.63 = 4,141.23 : x
  2. Step 2: Convert to fraction form
    12,908.67/19,364.63 = 4,141.23/x
  3. Step 3: Cross multiply
    12,908.67x = 19,364.63 × 4,141.23
  4. Step 4: Simplify right side
    12,908.67x = 80,193,365.99
  5. Step 5: Solve for x
    x = 80,193,365.99/12,908.67
  6. Step 6: Final answer
    x = 6,212.36

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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.