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Finding the Fourth Proportional to 16,185.31, 22,339.07 and 9,474.46

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Solution

The fourth proportional to 16,185.31, 22,339.07 and 9,474.46 is: 13,076.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,185.31 : 22,339.07 = 9,474.46 : x
  2. Step 2: Convert to fraction form
    16,185.31/22,339.07 = 9,474.46/x
  3. Step 3: Cross multiply
    16,185.31x = 22,339.07 × 9,474.46
  4. Step 4: Simplify right side
    16,185.31x = 211,650,577.78
  5. Step 5: Solve for x
    x = 211,650,577.78/16,185.31
  6. Step 6: Final answer
    x = 13,076.71

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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.