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Finding the Fourth Proportional to 20,852.22, 31,277.94 and 8,375.10

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Solution

The fourth proportional to 20,852.22, 31,277.94 and 8,375.10 is: 12,562.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,852.22 : 31,277.94 = 8,375.10 : x
  2. Step 2: Convert to fraction form
    20,852.22/31,277.94 = 8,375.10/x
  3. Step 3: Cross multiply
    20,852.22x = 31,277.94 × 8,375.10
  4. Step 4: Simplify right side
    20,852.22x = 261,955,875.29
  5. Step 5: Solve for x
    x = 261,955,875.29/20,852.22
  6. Step 6: Final answer
    x = 12,562.49

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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.