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Finding the Fourth Proportional to 21,571, 29,768.70 and 13,185.88

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Solution

The fourth proportional to 21,571, 29,768.70 and 13,185.88 is: 18,196.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,571 : 29,768.70 = 13,185.88 : x
  2. Step 2: Convert to fraction form
    21,571/29,768.70 = 13,185.88/x
  3. Step 3: Cross multiply
    21,571x = 29,768.70 × 13,185.88
  4. Step 4: Simplify right side
    21,571x = 392,526,505.96
  5. Step 5: Solve for x
    x = 392,526,505.96/21,571
  6. Step 6: Final answer
    x = 18,196.95

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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.