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Finding the Fourth Proportional to 11,453.68, 17,043.35 and 11,414.80

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Solution

The fourth proportional to 11,453.68, 17,043.35 and 11,414.80 is: 16,985.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,453.68 : 17,043.35 = 11,414.80 : x
  2. Step 2: Convert to fraction form
    11,453.68/17,043.35 = 11,414.80/x
  3. Step 3: Cross multiply
    11,453.68x = 17,043.35 × 11,414.80
  4. Step 4: Simplify right side
    11,453.68x = 194,546,431.58
  5. Step 5: Solve for x
    x = 194,546,431.58/11,453.68
  6. Step 6: Final answer
    x = 16,985.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.