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Finding the Fourth Proportional to 12,969.48, 19,456.02 and 4,201.56

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Solution

The fourth proportional to 12,969.48, 19,456.02 and 4,201.56 is: 6,302.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,969.48 : 19,456.02 = 4,201.56 : x
  2. Step 2: Convert to fraction form
    12,969.48/19,456.02 = 4,201.56/x
  3. Step 3: Cross multiply
    12,969.48x = 19,456.02 × 4,201.56
  4. Step 4: Simplify right side
    12,969.48x = 81,745,635.39
  5. Step 5: Solve for x
    x = 81,745,635.39/12,969.48
  6. Step 6: Final answer
    x = 6,302.92

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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.