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Finding the Fourth Proportional to 21,419.41, 29,557.83 and 11,858.63

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Solution

The fourth proportional to 21,419.41, 29,557.83 and 11,858.63 is: 16,364.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,419.41 : 29,557.83 = 11,858.63 : x
  2. Step 2: Convert to fraction form
    21,419.41/29,557.83 = 11,858.63/x
  3. Step 3: Cross multiply
    21,419.41x = 29,557.83 × 11,858.63
  4. Step 4: Simplify right side
    21,419.41x = 350,515,310.28
  5. Step 5: Solve for x
    x = 350,515,310.28/21,419.41
  6. Step 6: Final answer
    x = 16,364.38

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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.