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Finding the Fourth Proportional to 20,907.25, 31,352.03 and 8,423.92

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Solution

The fourth proportional to 20,907.25, 31,352.03 and 8,423.92 is: 12,632.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,907.25 : 31,352.03 = 8,423.92 : x
  2. Step 2: Convert to fraction form
    20,907.25/31,352.03 = 8,423.92/x
  3. Step 3: Cross multiply
    20,907.25x = 31,352.03 × 8,423.92
  4. Step 4: Simplify right side
    20,907.25x = 264,106,872.06
  5. Step 5: Solve for x
    x = 264,106,872.06/20,907.25
  6. Step 6: Final answer
    x = 12,632.31

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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.