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Finding the Fourth Proportional to 13,193.48, 18,203.88 and 7,813.20

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Solution

The fourth proportional to 13,193.48, 18,203.88 and 7,813.20 is: 10,780.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,193.48 : 18,203.88 = 7,813.20 : x
  2. Step 2: Convert to fraction form
    13,193.48/18,203.88 = 7,813.20/x
  3. Step 3: Cross multiply
    13,193.48x = 18,203.88 × 7,813.20
  4. Step 4: Simplify right side
    13,193.48x = 142,230,555.22
  5. Step 5: Solve for x
    x = 142,230,555.22/13,193.48
  6. Step 6: Final answer
    x = 10,780.37

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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.