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Finding the Fourth Proportional to 13,243.66, 18,277.87 and 7,654.66

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Solution

The fourth proportional to 13,243.66, 18,277.87 and 7,654.66 is: 10,564.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,243.66 : 18,277.87 = 7,654.66 : x
  2. Step 2: Convert to fraction form
    13,243.66/18,277.87 = 7,654.66/x
  3. Step 3: Cross multiply
    13,243.66x = 18,277.87 × 7,654.66
  4. Step 4: Simplify right side
    13,243.66x = 139,910,880.37
  5. Step 5: Solve for x
    x = 139,910,880.37/13,243.66
  6. Step 6: Final answer
    x = 10,564.37

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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.