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Finding the Fourth Proportional to 20,730.74, 31,094.82 and 8,884.49

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Solution

The fourth proportional to 20,730.74, 31,094.82 and 8,884.49 is: 13,326.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,730.74 : 31,094.82 = 8,884.49 : x
  2. Step 2: Convert to fraction form
    20,730.74/31,094.82 = 8,884.49/x
  3. Step 3: Cross multiply
    20,730.74x = 31,094.82 × 8,884.49
  4. Step 4: Simplify right side
    20,730.74x = 276,261,461.87
  5. Step 5: Solve for x
    x = 276,261,461.87/20,730.74
  6. Step 6: Final answer
    x = 13,326.18

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.