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Finding the Fourth Proportional to 24,813.81, 37,198.83 and 9,220.50

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Solution

The fourth proportional to 24,813.81, 37,198.83 and 9,220.50 is: 13,822.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,813.81 : 37,198.83 = 9,220.50 : x
  2. Step 2: Convert to fraction form
    24,813.81/37,198.83 = 9,220.50/x
  3. Step 3: Cross multiply
    24,813.81x = 37,198.83 × 9,220.50
  4. Step 4: Simplify right side
    24,813.81x = 342,991,812.02
  5. Step 5: Solve for x
    x = 342,991,812.02/24,813.81
  6. Step 6: Final answer
    x = 13,822.62

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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.