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Finding the Fourth Proportional to 12,766.41, 17,618.31 and 7,101.18

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Solution

The fourth proportional to 12,766.41, 17,618.31 and 7,101.18 is: 9,800.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,766.41 : 17,618.31 = 7,101.18 : x
  2. Step 2: Convert to fraction form
    12,766.41/17,618.31 = 7,101.18/x
  3. Step 3: Cross multiply
    12,766.41x = 17,618.31 × 7,101.18
  4. Step 4: Simplify right side
    12,766.41x = 125,110,790.61
  5. Step 5: Solve for x
    x = 125,110,790.61/12,766.41
  6. Step 6: Final answer
    x = 9,800.00

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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.