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Finding the Fourth Proportional to 22,558.32, 33,835.32 and 7,765.20

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Solution

The fourth proportional to 22,558.32, 33,835.32 and 7,765.20 is: 11,647.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,558.32 : 33,835.32 = 7,765.20 : x
  2. Step 2: Convert to fraction form
    22,558.32/33,835.32 = 7,765.20/x
  3. Step 3: Cross multiply
    22,558.32x = 33,835.32 × 7,765.20
  4. Step 4: Simplify right side
    22,558.32x = 262,738,026.86
  5. Step 5: Solve for x
    x = 262,738,026.86/22,558.32
  6. Step 6: Final answer
    x = 11,647.06

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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.