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Finding the Fourth Proportional to 30,896.64, 42,634.80 and 17,467.20

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Solution

The fourth proportional to 30,896.64, 42,634.80 and 17,467.20 is: 24,103.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,896.64 : 42,634.80 = 17,467.20 : x
  2. Step 2: Convert to fraction form
    30,896.64/42,634.80 = 17,467.20/x
  3. Step 3: Cross multiply
    30,896.64x = 42,634.80 × 17,467.20
  4. Step 4: Simplify right side
    30,896.64x = 744,710,578.56
  5. Step 5: Solve for x
    x = 744,710,578.56/30,896.64
  6. Step 6: Final answer
    x = 24,103.29

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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.