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Finding the Fourth Proportional to 24,466.97, 36,704.10 and 7,825.52

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Solution

The fourth proportional to 24,466.97, 36,704.10 and 7,825.52 is: 11,739.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,466.97 : 36,704.10 = 7,825.52 : x
  2. Step 2: Convert to fraction form
    24,466.97/36,704.10 = 7,825.52/x
  3. Step 3: Cross multiply
    24,466.97x = 36,704.10 × 7,825.52
  4. Step 4: Simplify right side
    24,466.97x = 287,228,668.63
  5. Step 5: Solve for x
    x = 287,228,668.63/24,466.97
  6. Step 6: Final answer
    x = 11,739.45

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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.