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Finding the Fourth Proportional to 12,642.57, 17,443.71 and 8,165.43

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Solution

The fourth proportional to 12,642.57, 17,443.71 and 8,165.43 is: 11,266.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,642.57 : 17,443.71 = 8,165.43 : x
  2. Step 2: Convert to fraction form
    12,642.57/17,443.71 = 8,165.43/x
  3. Step 3: Cross multiply
    12,642.57x = 17,443.71 × 8,165.43
  4. Step 4: Simplify right side
    12,642.57x = 142,435,392.95
  5. Step 5: Solve for x
    x = 142,435,392.95/12,642.57
  6. Step 6: Final answer
    x = 11,266.33

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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.