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Finding the Fourth Proportional to 13,654.12, 18,842.58 and 7,685.86

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Solution

The fourth proportional to 13,654.12, 18,842.58 and 7,685.86 is: 10,606.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,654.12 : 18,842.58 = 7,685.86 : x
  2. Step 2: Convert to fraction form
    13,654.12/18,842.58 = 7,685.86/x
  3. Step 3: Cross multiply
    13,654.12x = 18,842.58 × 7,685.86
  4. Step 4: Simplify right side
    13,654.12x = 144,821,431.92
  5. Step 5: Solve for x
    x = 144,821,431.92/13,654.12
  6. Step 6: Final answer
    x = 10,606.43

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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.