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Finding the Fourth Proportional to 20,684.46, 31,032.16 and 10,821.10

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Solution

The fourth proportional to 20,684.46, 31,032.16 and 10,821.10 is: 16,234.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,684.46 : 31,032.16 = 10,821.10 : x
  2. Step 2: Convert to fraction form
    20,684.46/31,032.16 = 10,821.10/x
  3. Step 3: Cross multiply
    20,684.46x = 31,032.16 × 10,821.10
  4. Step 4: Simplify right side
    20,684.46x = 335,802,106.58
  5. Step 5: Solve for x
    x = 335,802,106.58/20,684.46
  6. Step 6: Final answer
    x = 16,234.51

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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.