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Finding the Fourth Proportional to 12,903.12, 17,809.20 and 8,418.96

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Solution

The fourth proportional to 12,903.12, 17,809.20 and 8,418.96 is: 11,620.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,903.12 : 17,809.20 = 8,418.96 : x
  2. Step 2: Convert to fraction form
    12,903.12/17,809.20 = 8,418.96/x
  3. Step 3: Cross multiply
    12,903.12x = 17,809.20 × 8,418.96
  4. Step 4: Simplify right side
    12,903.12x = 149,934,942.43
  5. Step 5: Solve for x
    x = 149,934,942.43/12,903.12
  6. Step 6: Final answer
    x = 11,620.05

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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.