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Finding the Fourth Proportional to 14,296.78, 21,431.32 and 6,394.82

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Solution

The fourth proportional to 14,296.78, 21,431.32 and 6,394.82 is: 9,586.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,296.78 : 21,431.32 = 6,394.82 : x
  2. Step 2: Convert to fraction form
    14,296.78/21,431.32 = 6,394.82/x
  3. Step 3: Cross multiply
    14,296.78x = 21,431.32 × 6,394.82
  4. Step 4: Simplify right side
    14,296.78x = 137,049,433.76
  5. Step 5: Solve for x
    x = 137,049,433.76/14,296.78
  6. Step 6: Final answer
    x = 9,586.04

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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.