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Finding the Fourth Proportional to 12,638.32, 18,960.19 and 4,847.06

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Solution

The fourth proportional to 12,638.32, 18,960.19 and 4,847.06 is: 7,271.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,638.32 : 18,960.19 = 4,847.06 : x
  2. Step 2: Convert to fraction form
    12,638.32/18,960.19 = 4,847.06/x
  3. Step 3: Cross multiply
    12,638.32x = 18,960.19 × 4,847.06
  4. Step 4: Simplify right side
    12,638.32x = 91,901,213.82
  5. Step 5: Solve for x
    x = 91,901,213.82/12,638.32
  6. Step 6: Final answer
    x = 7,271.63

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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.