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Finding the Fourth Proportional to 16,415.97, 22,654.89 and 10,040.56

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Solution

The fourth proportional to 16,415.97, 22,654.89 and 10,040.56 is: 13,856.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,415.97 : 22,654.89 = 10,040.56 : x
  2. Step 2: Convert to fraction form
    16,415.97/22,654.89 = 10,040.56/x
  3. Step 3: Cross multiply
    16,415.97x = 22,654.89 × 10,040.56
  4. Step 4: Simplify right side
    16,415.97x = 227,467,826.42
  5. Step 5: Solve for x
    x = 227,467,826.42/16,415.97
  6. Step 6: Final answer
    x = 13,856.50

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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.