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Finding the Fourth Proportional to 13,686.67, 18,887.97 and 7,717.98

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Solution

The fourth proportional to 13,686.67, 18,887.97 and 7,717.98 is: 10,651.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,686.67 : 18,887.97 = 7,717.98 : x
  2. Step 2: Convert to fraction form
    13,686.67/18,887.97 = 7,717.98/x
  3. Step 3: Cross multiply
    13,686.67x = 18,887.97 × 7,717.98
  4. Step 4: Simplify right side
    13,686.67x = 145,776,974.70
  5. Step 5: Solve for x
    x = 145,776,974.70/13,686.67
  6. Step 6: Final answer
    x = 10,651.02

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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.