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Finding the Fourth Proportional to 24,362.39, 36,548.99 and 7,723.41

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Solution

The fourth proportional to 24,362.39, 36,548.99 and 7,723.41 is: 11,586.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,362.39 : 36,548.99 = 7,723.41 : x
  2. Step 2: Convert to fraction form
    24,362.39/36,548.99 = 7,723.41/x
  3. Step 3: Cross multiply
    24,362.39x = 36,548.99 × 7,723.41
  4. Step 4: Simplify right side
    24,362.39x = 282,282,796.24
  5. Step 5: Solve for x
    x = 282,282,796.24/24,362.39
  6. Step 6: Final answer
    x = 11,586.83

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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.