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Finding the Fourth Proportional to 24,302.53, 36,453.80 and 5,834.53

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Solution

The fourth proportional to 24,302.53, 36,453.80 and 5,834.53 is: 8,751.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,302.53 : 36,453.80 = 5,834.53 : x
  2. Step 2: Convert to fraction form
    24,302.53/36,453.80 = 5,834.53/x
  3. Step 3: Cross multiply
    24,302.53x = 36,453.80 × 5,834.53
  4. Step 4: Simplify right side
    24,302.53x = 212,690,817.05
  5. Step 5: Solve for x
    x = 212,690,817.05/24,302.53
  6. Step 6: Final answer
    x = 8,751.80

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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.