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Finding the Fourth Proportional to 14,238, 21,338.24 and 12,380.27

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Solution

The fourth proportional to 14,238, 21,338.24 and 12,380.27 is: 18,554.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,238 : 21,338.24 = 12,380.27 : x
  2. Step 2: Convert to fraction form
    14,238/21,338.24 = 12,380.27/x
  3. Step 3: Cross multiply
    14,238x = 21,338.24 × 12,380.27
  4. Step 4: Simplify right side
    14,238x = 264,173,003.93
  5. Step 5: Solve for x
    x = 264,173,003.93/14,238
  6. Step 6: Final answer
    x = 18,554.08

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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.