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Finding the Fourth Proportional to 14,172.54, 21,262.92 and 5,408.16

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Solution

The fourth proportional to 14,172.54, 21,262.92 and 5,408.16 is: 8,113.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,172.54 : 21,262.92 = 5,408.16 : x
  2. Step 2: Convert to fraction form
    14,172.54/21,262.92 = 5,408.16/x
  3. Step 3: Cross multiply
    14,172.54x = 21,262.92 × 5,408.16
  4. Step 4: Simplify right side
    14,172.54x = 114,993,273.43
  5. Step 5: Solve for x
    x = 114,993,273.43/14,172.54
  6. Step 6: Final answer
    x = 8,113.81

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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.