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Finding the Fourth Proportional to 13,228.90, 19,845 and 5,835.22

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Solution

The fourth proportional to 13,228.90, 19,845 and 5,835.22 is: 8,753.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,228.90 : 19,845 = 5,835.22 : x
  2. Step 2: Convert to fraction form
    13,228.90/19,845 = 5,835.22/x
  3. Step 3: Cross multiply
    13,228.90x = 19,845 × 5,835.22
  4. Step 4: Simplify right side
    13,228.90x = 115,799,940.90
  5. Step 5: Solve for x
    x = 115,799,940.90/13,228.90
  6. Step 6: Final answer
    x = 8,753.56

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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.