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Finding the Fourth Proportional to 13,654.98, 18,843.44 and 7,685.84

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Solution

The fourth proportional to 13,654.98, 18,843.44 and 7,685.84 is: 10,606.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,654.98 : 18,843.44 = 7,685.84 : x
  2. Step 2: Convert to fraction form
    13,654.98/18,843.44 = 7,685.84/x
  3. Step 3: Cross multiply
    13,654.98x = 18,843.44 × 7,685.84
  4. Step 4: Simplify right side
    13,654.98x = 144,827,567.57
  5. Step 5: Solve for x
    x = 144,827,567.57/13,654.98
  6. Step 6: Final answer
    x = 10,606.21

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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.