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Finding the Fourth Proportional to 22,039.63, 33,064.92 and 6,457.26

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Solution

The fourth proportional to 22,039.63, 33,064.92 and 6,457.26 is: 9,687.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,039.63 : 33,064.92 = 6,457.26 : x
  2. Step 2: Convert to fraction form
    22,039.63/33,064.92 = 6,457.26/x
  3. Step 3: Cross multiply
    22,039.63x = 33,064.92 × 6,457.26
  4. Step 4: Simplify right side
    22,039.63x = 213,508,785.32
  5. Step 5: Solve for x
    x = 213,508,785.32/22,039.63
  6. Step 6: Final answer
    x = 9,687.49

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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.