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Finding the Fourth Proportional to 12,683.88, 17,504.37 and 7,018.61

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Solution

The fourth proportional to 12,683.88, 17,504.37 and 7,018.61 is: 9,686.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,683.88 : 17,504.37 = 7,018.61 : x
  2. Step 2: Convert to fraction form
    12,683.88/17,504.37 = 7,018.61/x
  3. Step 3: Cross multiply
    12,683.88x = 17,504.37 × 7,018.61
  4. Step 4: Simplify right side
    12,683.88x = 122,856,258.80
  5. Step 5: Solve for x
    x = 122,856,258.80/12,683.88
  6. Step 6: Final answer
    x = 9,686.02

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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.