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Finding the Fourth Proportional to 12,671.51, 17,489.48 and 8,429.94

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Solution

The fourth proportional to 12,671.51, 17,489.48 and 8,429.94 is: 11,635.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,671.51 : 17,489.48 = 8,429.94 : x
  2. Step 2: Convert to fraction form
    12,671.51/17,489.48 = 8,429.94/x
  3. Step 3: Cross multiply
    12,671.51x = 17,489.48 × 8,429.94
  4. Step 4: Simplify right side
    12,671.51x = 147,435,224.88
  5. Step 5: Solve for x
    x = 147,435,224.88/12,671.51
  6. Step 6: Final answer
    x = 11,635.18

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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.