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Finding the Fourth Proportional to 12,804.98, 17,660.57 and 8,020.58

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Solution

The fourth proportional to 12,804.98, 17,660.57 and 8,020.58 is: 11,061.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,804.98 : 17,660.57 = 8,020.58 : x
  2. Step 2: Convert to fraction form
    12,804.98/17,660.57 = 8,020.58/x
  3. Step 3: Cross multiply
    12,804.98x = 17,660.57 × 8,020.58
  4. Step 4: Simplify right side
    12,804.98x = 141,647,886.12
  5. Step 5: Solve for x
    x = 141,647,886.12/12,804.98
  6. Step 6: Final answer
    x = 11,061.94

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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.