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Finding the Fourth Proportional to 12,206.87, 16,846.71 and 7,427.15

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Solution

The fourth proportional to 12,206.87, 16,846.71 and 7,427.15 is: 10,250.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,206.87 : 16,846.71 = 7,427.15 : x
  2. Step 2: Convert to fraction form
    12,206.87/16,846.71 = 7,427.15/x
  3. Step 3: Cross multiply
    12,206.87x = 16,846.71 × 7,427.15
  4. Step 4: Simplify right side
    12,206.87x = 125,122,957.94
  5. Step 5: Solve for x
    x = 125,122,957.94/12,206.87
  6. Step 6: Final answer
    x = 10,250.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.