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Finding the Fourth Proportional to 12,274.82, 18,420.31 and 6,732.06

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Solution

The fourth proportional to 12,274.82, 18,420.31 and 6,732.06 is: 10,102.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,274.82 : 18,420.31 = 6,732.06 : x
  2. Step 2: Convert to fraction form
    12,274.82/18,420.31 = 6,732.06/x
  3. Step 3: Cross multiply
    12,274.82x = 18,420.31 × 6,732.06
  4. Step 4: Simplify right side
    12,274.82x = 124,006,637.22
  5. Step 5: Solve for x
    x = 124,006,637.22/12,274.82
  6. Step 6: Final answer
    x = 10,102.52

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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.