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Finding the Fourth Proportional to 12,126.64, 18,163.56 and 7,432.44

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Solution

The fourth proportional to 12,126.64, 18,163.56 and 7,432.44 is: 11,132.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,126.64 : 18,163.56 = 7,432.44 : x
  2. Step 2: Convert to fraction form
    12,126.64/18,163.56 = 7,432.44/x
  3. Step 3: Cross multiply
    12,126.64x = 18,163.56 × 7,432.44
  4. Step 4: Simplify right side
    12,126.64x = 134,999,569.89
  5. Step 5: Solve for x
    x = 134,999,569.89/12,126.64
  6. Step 6: Final answer
    x = 11,132.48

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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.