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Finding the Fourth Proportional to 12,208.50, 18,312.84 and 2,974.50

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Solution

The fourth proportional to 12,208.50, 18,312.84 and 2,974.50 is: 4,461.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,208.50 : 18,312.84 = 2,974.50 : x
  2. Step 2: Convert to fraction form
    12,208.50/18,312.84 = 2,974.50/x
  3. Step 3: Cross multiply
    12,208.50x = 18,312.84 × 2,974.50
  4. Step 4: Simplify right side
    12,208.50x = 54,471,542.58
  5. Step 5: Solve for x
    x = 54,471,542.58/12,208.50
  6. Step 6: Final answer
    x = 4,461.77

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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.