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Finding the Fourth Proportional to 21,964.14, 32,954.85 and 9,643.50

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Solution

The fourth proportional to 21,964.14, 32,954.85 and 9,643.50 is: 14,469.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,964.14 : 32,954.85 = 9,643.50 : x
  2. Step 2: Convert to fraction form
    21,964.14/32,954.85 = 9,643.50/x
  3. Step 3: Cross multiply
    21,964.14x = 32,954.85 × 9,643.50
  4. Step 4: Simplify right side
    21,964.14x = 317,800,095.98
  5. Step 5: Solve for x
    x = 317,800,095.98/21,964.14
  6. Step 6: Final answer
    x = 14,469.04

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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.