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Finding the Fourth Proportional to 24,364, 36,546.18 and 5,896

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Solution

The fourth proportional to 24,364, 36,546.18 and 5,896 is: 8,844.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,364 : 36,546.18 = 5,896 : x
  2. Step 2: Convert to fraction form
    24,364/36,546.18 = 5,896/x
  3. Step 3: Cross multiply
    24,364x = 36,546.18 × 5,896
  4. Step 4: Simplify right side
    24,364x = 215,476,277.28
  5. Step 5: Solve for x
    x = 215,476,277.28/24,364
  6. Step 6: Final answer
    x = 8,844.04

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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.