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Finding the Fourth Proportional to 12,920.18, 17,825.26 and 8,446.51

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Solution

The fourth proportional to 12,920.18, 17,825.26 and 8,446.51 is: 11,653.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,920.18 : 17,825.26 = 8,446.51 : x
  2. Step 2: Convert to fraction form
    12,920.18/17,825.26 = 8,446.51/x
  3. Step 3: Cross multiply
    12,920.18x = 17,825.26 × 8,446.51
  4. Step 4: Simplify right side
    12,920.18x = 150,561,236.84
  5. Step 5: Solve for x
    x = 150,561,236.84/12,920.18
  6. Step 6: Final answer
    x = 11,653.18

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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.