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Finding the Fourth Proportional to 16,257.53, 22,431.65 and 9,540.74

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Solution

The fourth proportional to 16,257.53, 22,431.65 and 9,540.74 is: 13,164.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,257.53 : 22,431.65 = 9,540.74 : x
  2. Step 2: Convert to fraction form
    16,257.53/22,431.65 = 9,540.74/x
  3. Step 3: Cross multiply
    16,257.53x = 22,431.65 × 9,540.74
  4. Step 4: Simplify right side
    16,257.53x = 214,014,380.56
  5. Step 5: Solve for x
    x = 214,014,380.56/16,257.53
  6. Step 6: Final answer
    x = 13,164.02

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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.