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Finding the Fourth Proportional to 20,614.49, 30,896.40 and 9,505.76

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Solution

The fourth proportional to 20,614.49, 30,896.40 and 9,505.76 is: 14,246.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,614.49 : 30,896.40 = 9,505.76 : x
  2. Step 2: Convert to fraction form
    20,614.49/30,896.40 = 9,505.76/x
  3. Step 3: Cross multiply
    20,614.49x = 30,896.40 × 9,505.76
  4. Step 4: Simplify right side
    20,614.49x = 293,693,763.26
  5. Step 5: Solve for x
    x = 293,693,763.26/20,614.49
  6. Step 6: Final answer
    x = 14,246.96

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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.