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Finding the Fourth Proportional to 21,611.28, 29,823 and 12,179.64

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Solution

The fourth proportional to 21,611.28, 29,823 and 12,179.64 is: 16,807.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,611.28 : 29,823 = 12,179.64 : x
  2. Step 2: Convert to fraction form
    21,611.28/29,823 = 12,179.64/x
  3. Step 3: Cross multiply
    21,611.28x = 29,823 × 12,179.64
  4. Step 4: Simplify right side
    21,611.28x = 363,233,403.72
  5. Step 5: Solve for x
    x = 363,233,403.72/21,611.28
  6. Step 6: Final answer
    x = 16,807.58

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Why These Related Problems?

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