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Finding the Fourth Proportional to 12,254.56, 16,911.20 and 6,665.60

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Solution

The fourth proportional to 12,254.56, 16,911.20 and 6,665.60 is: 9,198.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,254.56 : 16,911.20 = 6,665.60 : x
  2. Step 2: Convert to fraction form
    12,254.56/16,911.20 = 6,665.60/x
  3. Step 3: Cross multiply
    12,254.56x = 16,911.20 × 6,665.60
  4. Step 4: Simplify right side
    12,254.56x = 112,723,294.72
  5. Step 5: Solve for x
    x = 112,723,294.72/12,254.56
  6. Step 6: Final answer
    x = 9,198.48

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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.