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Finding the Fourth Proportional to 13,265.96, 19,903.26 and 6,341

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Solution

The fourth proportional to 13,265.96, 19,903.26 and 6,341 is: 9,513.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,265.96 : 19,903.26 = 6,341 : x
  2. Step 2: Convert to fraction form
    13,265.96/19,903.26 = 6,341/x
  3. Step 3: Cross multiply
    13,265.96x = 19,903.26 × 6,341
  4. Step 4: Simplify right side
    13,265.96x = 126,206,571.66
  5. Step 5: Solve for x
    x = 126,206,571.66/13,265.96
  6. Step 6: Final answer
    x = 9,513.56

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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.