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Finding the Fourth Proportional to 12,729.90, 17,563.23 and 7,423.68

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Solution

The fourth proportional to 12,729.90, 17,563.23 and 7,423.68 is: 10,242.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,729.90 : 17,563.23 = 7,423.68 : x
  2. Step 2: Convert to fraction form
    12,729.90/17,563.23 = 7,423.68/x
  3. Step 3: Cross multiply
    12,729.90x = 17,563.23 × 7,423.68
  4. Step 4: Simplify right side
    12,729.90x = 130,383,799.29
  5. Step 5: Solve for x
    x = 130,383,799.29/12,729.90
  6. Step 6: Final answer
    x = 10,242.33

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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.