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Finding the Fourth Proportional to 20,762.33, 31,160.16 and 10,907.46

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Solution

The fourth proportional to 20,762.33, 31,160.16 and 10,907.46 is: 16,369.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,762.33 : 31,160.16 = 10,907.46 : x
  2. Step 2: Convert to fraction form
    20,762.33/31,160.16 = 10,907.46/x
  3. Step 3: Cross multiply
    20,762.33x = 31,160.16 × 10,907.46
  4. Step 4: Simplify right side
    20,762.33x = 339,878,198.79
  5. Step 5: Solve for x
    x = 339,878,198.79/20,762.33
  6. Step 6: Final answer
    x = 16,369.95

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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.