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Finding the Fourth Proportional to 21,385.32, 29,512.04 and 12,896.30

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Solution

The fourth proportional to 21,385.32, 29,512.04 and 12,896.30 is: 17,797.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,385.32 : 29,512.04 = 12,896.30 : x
  2. Step 2: Convert to fraction form
    21,385.32/29,512.04 = 12,896.30/x
  3. Step 3: Cross multiply
    21,385.32x = 29,512.04 × 12,896.30
  4. Step 4: Simplify right side
    21,385.32x = 380,595,909.41
  5. Step 5: Solve for x
    x = 380,595,909.41/21,385.32
  6. Step 6: Final answer
    x = 17,797.06

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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.