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Finding the Fourth Proportional to 21,674.68, 32,513.58 and 7,633.24

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Solution

The fourth proportional to 21,674.68, 32,513.58 and 7,633.24 is: 11,450.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,674.68 : 32,513.58 = 7,633.24 : x
  2. Step 2: Convert to fraction form
    21,674.68/32,513.58 = 7,633.24/x
  3. Step 3: Cross multiply
    21,674.68x = 32,513.58 × 7,633.24
  4. Step 4: Simplify right side
    21,674.68x = 248,183,959.40
  5. Step 5: Solve for x
    x = 248,183,959.40/21,674.68
  6. Step 6: Final answer
    x = 11,450.41

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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.