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Finding the Fourth Proportional to 12,855.76, 19,283.28 and 4,091.20

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Solution

The fourth proportional to 12,855.76, 19,283.28 and 4,091.20 is: 6,136.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,855.76 : 19,283.28 = 4,091.20 : x
  2. Step 2: Convert to fraction form
    12,855.76/19,283.28 = 4,091.20/x
  3. Step 3: Cross multiply
    12,855.76x = 19,283.28 × 4,091.20
  4. Step 4: Simplify right side
    12,855.76x = 78,891,755.14
  5. Step 5: Solve for x
    x = 78,891,755.14/12,855.76
  6. Step 6: Final answer
    x = 6,136.69

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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.