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Finding the Fourth Proportional to 28,974.66, 43,434.24 and 9,240.44

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Solution

The fourth proportional to 28,974.66, 43,434.24 and 9,240.44 is: 13,851.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,974.66 : 43,434.24 = 9,240.44 : x
  2. Step 2: Convert to fraction form
    28,974.66/43,434.24 = 9,240.44/x
  3. Step 3: Cross multiply
    28,974.66x = 43,434.24 × 9,240.44
  4. Step 4: Simplify right side
    28,974.66x = 401,351,271.49
  5. Step 5: Solve for x
    x = 401,351,271.49/28,974.66
  6. Step 6: Final answer
    x = 13,851.80

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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.