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Finding the Fourth Proportional to 21,932.37, 30,257.01 and 13,972.77

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Solution

The fourth proportional to 21,932.37, 30,257.01 and 13,972.77 is: 19,276.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,932.37 : 30,257.01 = 13,972.77 : x
  2. Step 2: Convert to fraction form
    21,932.37/30,257.01 = 13,972.77/x
  3. Step 3: Cross multiply
    21,932.37x = 30,257.01 × 13,972.77
  4. Step 4: Simplify right side
    21,932.37x = 422,774,241.62
  5. Step 5: Solve for x
    x = 422,774,241.62/21,932.37
  6. Step 6: Final answer
    x = 19,276.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.