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Finding the Fourth Proportional to 21,456, 29,599.20 and 15,171.84

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Solution

The fourth proportional to 21,456, 29,599.20 and 15,171.84 is: 20,930.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,456 : 29,599.20 = 15,171.84 : x
  2. Step 2: Convert to fraction form
    21,456/29,599.20 = 15,171.84/x
  3. Step 3: Cross multiply
    21,456x = 29,599.20 × 15,171.84
  4. Step 4: Simplify right side
    21,456x = 449,074,326.53
  5. Step 5: Solve for x
    x = 449,074,326.53/21,456
  6. Step 6: Final answer
    x = 20,930.01

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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.