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Finding the Fourth Proportional to 14,138.56, 21,208.86 and 4,278.62

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Solution

The fourth proportional to 14,138.56, 21,208.86 and 4,278.62 is: 6,418.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,138.56 : 21,208.86 = 4,278.62 : x
  2. Step 2: Convert to fraction form
    14,138.56/21,208.86 = 4,278.62/x
  3. Step 3: Cross multiply
    14,138.56x = 21,208.86 × 4,278.62
  4. Step 4: Simplify right side
    14,138.56x = 90,744,546.53
  5. Step 5: Solve for x
    x = 90,744,546.53/14,138.56
  6. Step 6: Final answer
    x = 6,418.23

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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.