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Finding the Fourth Proportional to 24,804.99, 37,206.98 and 7,274.43

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Solution

The fourth proportional to 24,804.99, 37,206.98 and 7,274.43 is: 10,911.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,804.99 : 37,206.98 = 7,274.43 : x
  2. Step 2: Convert to fraction form
    24,804.99/37,206.98 = 7,274.43/x
  3. Step 3: Cross multiply
    24,804.99x = 37,206.98 × 7,274.43
  4. Step 4: Simplify right side
    24,804.99x = 270,659,535.15
  5. Step 5: Solve for x
    x = 270,659,535.15/24,804.99
  6. Step 6: Final answer
    x = 10,911.50

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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.