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Finding the Fourth Proportional to 12,844.50, 19,266.75 and 3,116.50

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Solution

The fourth proportional to 12,844.50, 19,266.75 and 3,116.50 is: 4,674.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,844.50 : 19,266.75 = 3,116.50 : x
  2. Step 2: Convert to fraction form
    12,844.50/19,266.75 = 3,116.50/x
  3. Step 3: Cross multiply
    12,844.50x = 19,266.75 × 3,116.50
  4. Step 4: Simplify right side
    12,844.50x = 60,044,826.38
  5. Step 5: Solve for x
    x = 60,044,826.38/12,844.50
  6. Step 6: Final answer
    x = 4,674.75

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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.