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Finding the Fourth Proportional to 29,274.76, 43,918.26 and 9,554.44

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Solution

The fourth proportional to 29,274.76, 43,918.26 and 9,554.44 is: 14,333.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,274.76 : 43,918.26 = 9,554.44 : x
  2. Step 2: Convert to fraction form
    29,274.76/43,918.26 = 9,554.44/x
  3. Step 3: Cross multiply
    29,274.76x = 43,918.26 × 9,554.44
  4. Step 4: Simplify right side
    29,274.76x = 419,614,380.07
  5. Step 5: Solve for x
    x = 419,614,380.07/29,274.76
  6. Step 6: Final answer
    x = 14,333.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.