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Finding the Fourth Proportional to 13,686.88, 18,881.22 and 8,648.68

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Solution

The fourth proportional to 13,686.88, 18,881.22 and 8,648.68 is: 11,930.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,686.88 : 18,881.22 = 8,648.68 : x
  2. Step 2: Convert to fraction form
    13,686.88/18,881.22 = 8,648.68/x
  3. Step 3: Cross multiply
    13,686.88x = 18,881.22 × 8,648.68
  4. Step 4: Simplify right side
    13,686.88x = 163,297,629.79
  5. Step 5: Solve for x
    x = 163,297,629.79/13,686.88
  6. Step 6: Final answer
    x = 11,930.96

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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.