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Finding the Fourth Proportional to 21,945.30, 32,905.80 and 9,463.20

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Solution

The fourth proportional to 21,945.30, 32,905.80 and 9,463.20 is: 14,189.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,945.30 : 32,905.80 = 9,463.20 : x
  2. Step 2: Convert to fraction form
    21,945.30/32,905.80 = 9,463.20/x
  3. Step 3: Cross multiply
    21,945.30x = 32,905.80 × 9,463.20
  4. Step 4: Simplify right side
    21,945.30x = 311,394,166.56
  5. Step 5: Solve for x
    x = 311,394,166.56/21,945.30
  6. Step 6: Final answer
    x = 14,189.56

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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.