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Finding the Fourth Proportional to 13,006.27, 19,512.51 and 4,241.19

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Solution

The fourth proportional to 13,006.27, 19,512.51 and 4,241.19 is: 6,362.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,006.27 : 19,512.51 = 4,241.19 : x
  2. Step 2: Convert to fraction form
    13,006.27/19,512.51 = 4,241.19/x
  3. Step 3: Cross multiply
    13,006.27x = 19,512.51 × 4,241.19
  4. Step 4: Simplify right side
    13,006.27x = 82,756,241.08
  5. Step 5: Solve for x
    x = 82,756,241.08/13,006.27
  6. Step 6: Final answer
    x = 6,362.80

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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.