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Finding the Fourth Proportional to 13,026.48, 17,969.07 and 8,237.62

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Solution

The fourth proportional to 13,026.48, 17,969.07 and 8,237.62 is: 11,363.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,026.48 : 17,969.07 = 8,237.62 : x
  2. Step 2: Convert to fraction form
    13,026.48/17,969.07 = 8,237.62/x
  3. Step 3: Cross multiply
    13,026.48x = 17,969.07 × 8,237.62
  4. Step 4: Simplify right side
    13,026.48x = 148,022,370.41
  5. Step 5: Solve for x
    x = 148,022,370.41/13,026.48
  6. Step 6: Final answer
    x = 11,363.19

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.