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Finding the Fourth Proportional to 21,179.14, 31,762.23 and 8,033.38

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Solution

The fourth proportional to 21,179.14, 31,762.23 and 8,033.38 is: 12,047.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,179.14 : 31,762.23 = 8,033.38 : x
  2. Step 2: Convert to fraction form
    21,179.14/31,762.23 = 8,033.38/x
  3. Step 3: Cross multiply
    21,179.14x = 31,762.23 × 8,033.38
  4. Step 4: Simplify right side
    21,179.14x = 255,158,063.24
  5. Step 5: Solve for x
    x = 255,158,063.24/21,179.14
  6. Step 6: Final answer
    x = 12,047.61

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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.