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Finding the Fourth Proportional to 12,462.63, 17,179.25 and 8,206.35

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Solution

The fourth proportional to 12,462.63, 17,179.25 and 8,206.35 is: 11,312.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,462.63 : 17,179.25 = 8,206.35 : x
  2. Step 2: Convert to fraction form
    12,462.63/17,179.25 = 8,206.35/x
  3. Step 3: Cross multiply
    12,462.63x = 17,179.25 × 8,206.35
  4. Step 4: Simplify right side
    12,462.63x = 140,978,938.24
  5. Step 5: Solve for x
    x = 140,978,938.24/12,462.63
  6. Step 6: Final answer
    x = 11,312.13

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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.