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Finding the Fourth Proportional to 21,813.85, 32,716.11 and 9,964.26

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Solution

The fourth proportional to 21,813.85, 32,716.11 and 9,964.26 is: 14,944.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,813.85 : 32,716.11 = 9,964.26 : x
  2. Step 2: Convert to fraction form
    21,813.85/32,716.11 = 9,964.26/x
  3. Step 3: Cross multiply
    21,813.85x = 32,716.11 × 9,964.26
  4. Step 4: Simplify right side
    21,813.85x = 325,991,826.23
  5. Step 5: Solve for x
    x = 325,991,826.23/21,813.85
  6. Step 6: Final answer
    x = 14,944.26

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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.