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Finding the Fourth Proportional to 13,229.98, 18,257.58 and 7,262.20

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Solution

The fourth proportional to 13,229.98, 18,257.58 and 7,262.20 is: 10,021.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,229.98 : 18,257.58 = 7,262.20 : x
  2. Step 2: Convert to fraction form
    13,229.98/18,257.58 = 7,262.20/x
  3. Step 3: Cross multiply
    13,229.98x = 18,257.58 × 7,262.20
  4. Step 4: Simplify right side
    13,229.98x = 132,590,197.48
  5. Step 5: Solve for x
    x = 132,590,197.48/13,229.98
  6. Step 6: Final answer
    x = 10,021.95

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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.