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Finding the Fourth Proportional to 14,138.36, 21,213.06 and 5,259.14

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Solution

The fourth proportional to 14,138.36, 21,213.06 and 5,259.14 is: 7,890.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,138.36 : 21,213.06 = 5,259.14 : x
  2. Step 2: Convert to fraction form
    14,138.36/21,213.06 = 5,259.14/x
  3. Step 3: Cross multiply
    14,138.36x = 21,213.06 × 5,259.14
  4. Step 4: Simplify right side
    14,138.36x = 111,562,452.37
  5. Step 5: Solve for x
    x = 111,562,452.37/14,138.36
  6. Step 6: Final answer
    x = 7,890.76

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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.