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Finding the Fourth Proportional to 12,620.30, 17,406.75 and 8,141.78

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Solution

The fourth proportional to 12,620.30, 17,406.75 and 8,141.78 is: 11,229.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,620.30 : 17,406.75 = 8,141.78 : x
  2. Step 2: Convert to fraction form
    12,620.30/17,406.75 = 8,141.78/x
  3. Step 3: Cross multiply
    12,620.30x = 17,406.75 × 8,141.78
  4. Step 4: Simplify right side
    12,620.30x = 141,721,929.02
  5. Step 5: Solve for x
    x = 141,721,929.02/12,620.30
  6. Step 6: Final answer
    x = 11,229.68

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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.