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Finding the Fourth Proportional to 24,651.27, 36,973.26 and 9,065.25

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Solution

The fourth proportional to 24,651.27, 36,973.26 and 9,065.25 is: 13,596.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,651.27 : 36,973.26 = 9,065.25 : x
  2. Step 2: Convert to fraction form
    24,651.27/36,973.26 = 9,065.25/x
  3. Step 3: Cross multiply
    24,651.27x = 36,973.26 × 9,065.25
  4. Step 4: Simplify right side
    24,651.27x = 335,171,845.22
  5. Step 5: Solve for x
    x = 335,171,845.22/24,651.27
  6. Step 6: Final answer
    x = 13,596.53

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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.