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Finding the Fourth Proportional to 22,525.86, 33,765.34 and 8,476.24

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Solution

The fourth proportional to 22,525.86, 33,765.34 and 8,476.24 is: 12,705.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,525.86 : 33,765.34 = 8,476.24 : x
  2. Step 2: Convert to fraction form
    22,525.86/33,765.34 = 8,476.24/x
  3. Step 3: Cross multiply
    22,525.86x = 33,765.34 × 8,476.24
  4. Step 4: Simplify right side
    22,525.86x = 286,203,125.52
  5. Step 5: Solve for x
    x = 286,203,125.52/22,525.86
  6. Step 6: Final answer
    x = 12,705.54

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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.