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Finding the Fourth Proportional to 12,773.85, 17,623.02 and 9,424.65

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Solution

The fourth proportional to 12,773.85, 17,623.02 and 9,424.65 is: 13,002.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,773.85 : 17,623.02 = 9,424.65 : x
  2. Step 2: Convert to fraction form
    12,773.85/17,623.02 = 9,424.65/x
  3. Step 3: Cross multiply
    12,773.85x = 17,623.02 × 9,424.65
  4. Step 4: Simplify right side
    12,773.85x = 166,090,843.86
  5. Step 5: Solve for x
    x = 166,090,843.86/12,773.85
  6. Step 6: Final answer
    x = 13,002.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.