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Finding the Fourth Proportional to 12,938.94, 17,850.21 and 8,454.90

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Solution

The fourth proportional to 12,938.94, 17,850.21 and 8,454.90 is: 11,664.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,938.94 : 17,850.21 = 8,454.90 : x
  2. Step 2: Convert to fraction form
    12,938.94/17,850.21 = 8,454.90/x
  3. Step 3: Cross multiply
    12,938.94x = 17,850.21 × 8,454.90
  4. Step 4: Simplify right side
    12,938.94x = 150,921,775.76
  5. Step 5: Solve for x
    x = 150,921,775.76/12,938.94
  6. Step 6: Final answer
    x = 11,664.15

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Why These Related Problems?

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