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Finding the Fourth Proportional to 12,611.12, 17,406.97 and 8,431.52

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Solution

The fourth proportional to 12,611.12, 17,406.97 and 8,431.52 is: 11,637.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,611.12 : 17,406.97 = 8,431.52 : x
  2. Step 2: Convert to fraction form
    12,611.12/17,406.97 = 8,431.52/x
  3. Step 3: Cross multiply
    12,611.12x = 17,406.97 × 8,431.52
  4. Step 4: Simplify right side
    12,611.12x = 146,767,107.58
  5. Step 5: Solve for x
    x = 146,767,107.58/12,611.12
  6. Step 6: Final answer
    x = 11,637.92

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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.