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Finding the Fourth Proportional to 21,896.44, 30,217.12 and 12,465

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Solution

The fourth proportional to 21,896.44, 30,217.12 and 12,465 is: 17,201.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,896.44 : 30,217.12 = 12,465 : x
  2. Step 2: Convert to fraction form
    21,896.44/30,217.12 = 12,465/x
  3. Step 3: Cross multiply
    21,896.44x = 30,217.12 × 12,465
  4. Step 4: Simplify right side
    21,896.44x = 376,656,369.64
  5. Step 5: Solve for x
    x = 376,656,369.64/21,896.44
  6. Step 6: Final answer
    x = 17,201.72

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.