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Finding the Fourth Proportional to 16,012.56, 22,096.86 and 8,938.82

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Solution

The fourth proportional to 16,012.56, 22,096.86 and 8,938.82 is: 12,335.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,012.56 : 22,096.86 = 8,938.82 : x
  2. Step 2: Convert to fraction form
    16,012.56/22,096.86 = 8,938.82/x
  3. Step 3: Cross multiply
    16,012.56x = 22,096.86 × 8,938.82
  4. Step 4: Simplify right side
    16,012.56x = 197,519,854.11
  5. Step 5: Solve for x
    x = 197,519,854.11/16,012.56
  6. Step 6: Final answer
    x = 12,335.31

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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.