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Finding the Fourth Proportional to 21,013.36, 31,520.76 and 7,162

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Solution

The fourth proportional to 21,013.36, 31,520.76 and 7,162 is: 10,743.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,013.36 : 31,520.76 = 7,162 : x
  2. Step 2: Convert to fraction form
    21,013.36/31,520.76 = 7,162/x
  3. Step 3: Cross multiply
    21,013.36x = 31,520.76 × 7,162
  4. Step 4: Simplify right side
    21,013.36x = 225,751,683.12
  5. Step 5: Solve for x
    x = 225,751,683.12/21,013.36
  6. Step 6: Final answer
    x = 10,743.25

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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.