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Finding the Fourth Proportional to 24,564.33, 36,853.67 and 7,923.99

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Solution

The fourth proportional to 24,564.33, 36,853.67 and 7,923.99 is: 11,888.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,564.33 : 36,853.67 = 7,923.99 : x
  2. Step 2: Convert to fraction form
    24,564.33/36,853.67 = 7,923.99/x
  3. Step 3: Cross multiply
    24,564.33x = 36,853.67 × 7,923.99
  4. Step 4: Simplify right side
    24,564.33x = 292,028,072.92
  5. Step 5: Solve for x
    x = 292,028,072.92/24,564.33
  6. Step 6: Final answer
    x = 11,888.30

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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.