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Finding the Fourth Proportional to 12,043.31, 18,072.67 and 6,500.51

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Solution

The fourth proportional to 12,043.31, 18,072.67 and 6,500.51 is: 9,754.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,043.31 : 18,072.67 = 6,500.51 : x
  2. Step 2: Convert to fraction form
    12,043.31/18,072.67 = 6,500.51/x
  3. Step 3: Cross multiply
    12,043.31x = 18,072.67 × 6,500.51
  4. Step 4: Simplify right side
    12,043.31x = 117,481,572.06
  5. Step 5: Solve for x
    x = 117,481,572.06/12,043.31
  6. Step 6: Final answer
    x = 9,754.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.