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Finding the Fourth Proportional to 12,255.12, 16,912.08 and 6,666

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Solution

The fourth proportional to 12,255.12, 16,912.08 and 6,666 is: 9,199.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,255.12 : 16,912.08 = 6,666 : x
  2. Step 2: Convert to fraction form
    12,255.12/16,912.08 = 6,666/x
  3. Step 3: Cross multiply
    12,255.12x = 16,912.08 × 6,666
  4. Step 4: Simplify right side
    12,255.12x = 112,735,925.28
  5. Step 5: Solve for x
    x = 112,735,925.28/12,255.12
  6. Step 6: Final answer
    x = 9,199.09

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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.