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Finding the Fourth Proportional to 21,633.54, 32,380.62 and 11,624.40

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Solution

The fourth proportional to 21,633.54, 32,380.62 and 11,624.40 is: 17,399.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,633.54 : 32,380.62 = 11,624.40 : x
  2. Step 2: Convert to fraction form
    21,633.54/32,380.62 = 11,624.40/x
  3. Step 3: Cross multiply
    21,633.54x = 32,380.62 × 11,624.40
  4. Step 4: Simplify right side
    21,633.54x = 376,405,279.13
  5. Step 5: Solve for x
    x = 376,405,279.13/21,633.54
  6. Step 6: Final answer
    x = 17,399.15

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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.