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Finding the Fourth Proportional to 13,654.08, 18,842.56 and 7,685.64

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Solution

The fourth proportional to 13,654.08, 18,842.56 and 7,685.64 is: 10,606.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,654.08 : 18,842.56 = 7,685.64 : x
  2. Step 2: Convert to fraction form
    13,654.08/18,842.56 = 7,685.64/x
  3. Step 3: Cross multiply
    13,654.08x = 18,842.56 × 7,685.64
  4. Step 4: Simplify right side
    13,654.08x = 144,817,113.62
  5. Step 5: Solve for x
    x = 144,817,113.62/13,654.08
  6. Step 6: Final answer
    x = 10,606.14

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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.