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Finding the Fourth Proportional to 12,371.70, 18,521.10 and 8,216.40

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Solution

The fourth proportional to 12,371.70, 18,521.10 and 8,216.40 is: 12,300.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,371.70 : 18,521.10 = 8,216.40 : x
  2. Step 2: Convert to fraction form
    12,371.70/18,521.10 = 8,216.40/x
  3. Step 3: Cross multiply
    12,371.70x = 18,521.10 × 8,216.40
  4. Step 4: Simplify right side
    12,371.70x = 152,176,766.04
  5. Step 5: Solve for x
    x = 152,176,766.04/12,371.70
  6. Step 6: Final answer
    x = 12,300.39

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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.