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Finding the Fourth Proportional to 22,500.24, 33,739.01 and 7,502.03

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Solution

The fourth proportional to 22,500.24, 33,739.01 and 7,502.03 is: 11,249.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,500.24 : 33,739.01 = 7,502.03 : x
  2. Step 2: Convert to fraction form
    22,500.24/33,739.01 = 7,502.03/x
  3. Step 3: Cross multiply
    22,500.24x = 33,739.01 × 7,502.03
  4. Step 4: Simplify right side
    22,500.24x = 253,111,039.99
  5. Step 5: Solve for x
    x = 253,111,039.99/22,500.24
  6. Step 6: Final answer
    x = 11,249.26

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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.