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Finding the Fourth Proportional to 12,171.57, 16,796.67 and 6,582.57

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Solution

The fourth proportional to 12,171.57, 16,796.67 and 6,582.57 is: 9,083.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,171.57 : 16,796.67 = 6,582.57 : x
  2. Step 2: Convert to fraction form
    12,171.57/16,796.67 = 6,582.57/x
  3. Step 3: Cross multiply
    12,171.57x = 16,796.67 × 6,582.57
  4. Step 4: Simplify right side
    12,171.57x = 110,565,168.37
  5. Step 5: Solve for x
    x = 110,565,168.37/12,171.57
  6. Step 6: Final answer
    x = 9,083.89

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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.