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Finding the Fourth Proportional to 20,884.44, 31,326.42 and 7,043.16

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Solution

The fourth proportional to 20,884.44, 31,326.42 and 7,043.16 is: 10,564.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,884.44 : 31,326.42 = 7,043.16 : x
  2. Step 2: Convert to fraction form
    20,884.44/31,326.42 = 7,043.16/x
  3. Step 3: Cross multiply
    20,884.44x = 31,326.42 × 7,043.16
  4. Step 4: Simplify right side
    20,884.44x = 220,636,988.29
  5. Step 5: Solve for x
    x = 220,636,988.29/20,884.44
  6. Step 6: Final answer
    x = 10,564.66

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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.