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Finding the Fourth Proportional to 24,814.81, 37,200.33 and 9,221.50

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Solution

The fourth proportional to 24,814.81, 37,200.33 and 9,221.50 is: 13,824.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,814.81 : 37,200.33 = 9,221.50 : x
  2. Step 2: Convert to fraction form
    24,814.81/37,200.33 = 9,221.50/x
  3. Step 3: Cross multiply
    24,814.81x = 37,200.33 × 9,221.50
  4. Step 4: Simplify right side
    24,814.81x = 343,042,843.10
  5. Step 5: Solve for x
    x = 343,042,843.10/24,814.81
  6. Step 6: Final answer
    x = 13,824.12

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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.