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Finding the Fourth Proportional to 21,678.70, 32,520.66 and 7,635.83

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Solution

The fourth proportional to 21,678.70, 32,520.66 and 7,635.83 is: 11,454.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,678.70 : 32,520.66 = 7,635.83 : x
  2. Step 2: Convert to fraction form
    21,678.70/32,520.66 = 7,635.83/x
  3. Step 3: Cross multiply
    21,678.70x = 32,520.66 × 7,635.83
  4. Step 4: Simplify right side
    21,678.70x = 248,322,231.25
  5. Step 5: Solve for x
    x = 248,322,231.25/21,678.70
  6. Step 6: Final answer
    x = 11,454.66

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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.