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Finding the Fourth Proportional to 24,337, 36,505.50 and 5,869

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Solution

The fourth proportional to 24,337, 36,505.50 and 5,869 is: 8,803.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,337 : 36,505.50 = 5,869 : x
  2. Step 2: Convert to fraction form
    24,337/36,505.50 = 5,869/x
  3. Step 3: Cross multiply
    24,337x = 36,505.50 × 5,869
  4. Step 4: Simplify right side
    24,337x = 214,250,779.50
  5. Step 5: Solve for x
    x = 214,250,779.50/24,337
  6. Step 6: Final answer
    x = 8,803.50

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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.