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Finding the Fourth Proportional to 24,375.12, 36,564.03 and 6,846.36

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Solution

The fourth proportional to 24,375.12, 36,564.03 and 6,846.36 is: 10,269.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,375.12 : 36,564.03 = 6,846.36 : x
  2. Step 2: Convert to fraction form
    24,375.12/36,564.03 = 6,846.36/x
  3. Step 3: Cross multiply
    24,375.12x = 36,564.03 × 6,846.36
  4. Step 4: Simplify right side
    24,375.12x = 250,330,512.43
  5. Step 5: Solve for x
    x = 250,330,512.43/24,375.12
  6. Step 6: Final answer
    x = 10,269.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.