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Finding the Fourth Proportional to 13,654.66, 18,843.78 and 7,686.54

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Solution

The fourth proportional to 13,654.66, 18,843.78 and 7,686.54 is: 10,607.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,654.66 : 18,843.78 = 7,686.54 : x
  2. Step 2: Convert to fraction form
    13,654.66/18,843.78 = 7,686.54/x
  3. Step 3: Cross multiply
    13,654.66x = 18,843.78 × 7,686.54
  4. Step 4: Simplify right side
    13,654.66x = 144,843,468.72
  5. Step 5: Solve for x
    x = 144,843,468.72/13,654.66
  6. Step 6: Final answer
    x = 10,607.62

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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.