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Finding the Fourth Proportional to 19,683.12, 29,526.12 and 7,996.56

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Solution

The fourth proportional to 19,683.12, 29,526.12 and 7,996.56 is: 11,995.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,683.12 : 29,526.12 = 7,996.56 : x
  2. Step 2: Convert to fraction form
    19,683.12/29,526.12 = 7,996.56/x
  3. Step 3: Cross multiply
    19,683.12x = 29,526.12 × 7,996.56
  4. Step 4: Simplify right side
    19,683.12x = 236,107,390.15
  5. Step 5: Solve for x
    x = 236,107,390.15/19,683.12
  6. Step 6: Final answer
    x = 11,995.43

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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.