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Finding the Fourth Proportional to 24,533.70, 36,782.33 and 7,884.15

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Solution

The fourth proportional to 24,533.70, 36,782.33 and 7,884.15 is: 11,820.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,533.70 : 36,782.33 = 7,884.15 : x
  2. Step 2: Convert to fraction form
    24,533.70/36,782.33 = 7,884.15/x
  3. Step 3: Cross multiply
    24,533.70x = 36,782.33 × 7,884.15
  4. Step 4: Simplify right side
    24,533.70x = 289,997,367.65
  5. Step 5: Solve for x
    x = 289,997,367.65/24,533.70
  6. Step 6: Final answer
    x = 11,820.37

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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.