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Finding the Fourth Proportional to 12,002.88, 18,012.42 and 4,211.76

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Solution

The fourth proportional to 12,002.88, 18,012.42 and 4,211.76 is: 6,320.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,002.88 : 18,012.42 = 4,211.76 : x
  2. Step 2: Convert to fraction form
    12,002.88/18,012.42 = 4,211.76/x
  3. Step 3: Cross multiply
    12,002.88x = 18,012.42 × 4,211.76
  4. Step 4: Simplify right side
    12,002.88x = 75,863,990.06
  5. Step 5: Solve for x
    x = 75,863,990.06/12,002.88
  6. Step 6: Final answer
    x = 6,320.48

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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.