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Finding the Fourth Proportional to 13,020.83, 17,967.84 and 7,353.80

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Solution

The fourth proportional to 13,020.83, 17,967.84 and 7,353.80 is: 10,147.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,020.83 : 17,967.84 = 7,353.80 : x
  2. Step 2: Convert to fraction form
    13,020.83/17,967.84 = 7,353.80/x
  3. Step 3: Cross multiply
    13,020.83x = 17,967.84 × 7,353.80
  4. Step 4: Simplify right side
    13,020.83x = 132,131,901.79
  5. Step 5: Solve for x
    x = 132,131,901.79/13,020.83
  6. Step 6: Final answer
    x = 10,147.73

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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.