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Finding the Fourth Proportional to 21,864.12, 32,768.08 and 9,380.96

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Solution

The fourth proportional to 21,864.12, 32,768.08 and 9,380.96 is: 14,059.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,864.12 : 32,768.08 = 9,380.96 : x
  2. Step 2: Convert to fraction form
    21,864.12/32,768.08 = 9,380.96/x
  3. Step 3: Cross multiply
    21,864.12x = 32,768.08 × 9,380.96
  4. Step 4: Simplify right side
    21,864.12x = 307,396,047.76
  5. Step 5: Solve for x
    x = 307,396,047.76/21,864.12
  6. Step 6: Final answer
    x = 14,059.38

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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.