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Finding the Fourth Proportional to 22,434.24, 33,629.94 and 8,390.46

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Solution

The fourth proportional to 22,434.24, 33,629.94 and 8,390.46 is: 12,577.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,434.24 : 33,629.94 = 8,390.46 : x
  2. Step 2: Convert to fraction form
    22,434.24/33,629.94 = 8,390.46/x
  3. Step 3: Cross multiply
    22,434.24x = 33,629.94 × 8,390.46
  4. Step 4: Simplify right side
    22,434.24x = 282,170,666.37
  5. Step 5: Solve for x
    x = 282,170,666.37/22,434.24
  6. Step 6: Final answer
    x = 12,577.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.