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Finding the Fourth Proportional to 24,405.93, 36,619.37 and 7,767.31

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Solution

The fourth proportional to 24,405.93, 36,619.37 and 7,767.31 is: 11,654.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,405.93 : 36,619.37 = 7,767.31 : x
  2. Step 2: Convert to fraction form
    24,405.93/36,619.37 = 7,767.31/x
  3. Step 3: Cross multiply
    24,405.93x = 36,619.37 × 7,767.31
  4. Step 4: Simplify right side
    24,405.93x = 284,433,998.79
  5. Step 5: Solve for x
    x = 284,433,998.79/24,405.93
  6. Step 6: Final answer
    x = 11,654.30

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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.