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Finding the Fourth Proportional to 12,086.50, 16,674.51 and 7,369.06

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Solution

The fourth proportional to 12,086.50, 16,674.51 and 7,369.06 is: 10,166.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,086.50 : 16,674.51 = 7,369.06 : x
  2. Step 2: Convert to fraction form
    12,086.50/16,674.51 = 7,369.06/x
  3. Step 3: Cross multiply
    12,086.50x = 16,674.51 × 7,369.06
  4. Step 4: Simplify right side
    12,086.50x = 122,875,464.66
  5. Step 5: Solve for x
    x = 122,875,464.66/12,086.50
  6. Step 6: Final answer
    x = 10,166.34

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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.