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Finding the Fourth Proportional to 12,122.50, 16,729.06 and 7,406.75

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Solution

The fourth proportional to 12,122.50, 16,729.06 and 7,406.75 is: 10,221.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,122.50 : 16,729.06 = 7,406.75 : x
  2. Step 2: Convert to fraction form
    12,122.50/16,729.06 = 7,406.75/x
  3. Step 3: Cross multiply
    12,122.50x = 16,729.06 × 7,406.75
  4. Step 4: Simplify right side
    12,122.50x = 123,907,965.16
  5. Step 5: Solve for x
    x = 123,907,965.16/12,122.50
  6. Step 6: Final answer
    x = 10,221.32

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.