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Finding the Fourth Proportional to 21,238.56, 31,872.36 and 7,387.56

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Solution

The fourth proportional to 21,238.56, 31,872.36 and 7,387.56 is: 11,086.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,238.56 : 31,872.36 = 7,387.56 : x
  2. Step 2: Convert to fraction form
    21,238.56/31,872.36 = 7,387.56/x
  3. Step 3: Cross multiply
    21,238.56x = 31,872.36 × 7,387.56
  4. Step 4: Simplify right side
    21,238.56x = 235,458,971.84
  5. Step 5: Solve for x
    x = 235,458,971.84/21,238.56
  6. Step 6: Final answer
    x = 11,086.39

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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.