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Finding the Fourth Proportional to 12,671.64, 17,486.55 and 7,367.49

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Solution

The fourth proportional to 12,671.64, 17,486.55 and 7,367.49 is: 10,166.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,671.64 : 17,486.55 = 7,367.49 : x
  2. Step 2: Convert to fraction form
    12,671.64/17,486.55 = 7,367.49/x
  3. Step 3: Cross multiply
    12,671.64x = 17,486.55 × 7,367.49
  4. Step 4: Simplify right side
    12,671.64x = 128,831,982.26
  5. Step 5: Solve for x
    x = 128,831,982.26/12,671.64
  6. Step 6: Final answer
    x = 10,166.95

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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.