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Finding the Fourth Proportional to 13,654.60, 18,842.46 and 7,686.42

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Solution

The fourth proportional to 13,654.60, 18,842.46 and 7,686.42 is: 10,606.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,654.60 : 18,842.46 = 7,686.42 : x
  2. Step 2: Convert to fraction form
    13,654.60/18,842.46 = 7,686.42/x
  3. Step 3: Cross multiply
    13,654.60x = 18,842.46 × 7,686.42
  4. Step 4: Simplify right side
    13,654.60x = 144,831,061.39
  5. Step 5: Solve for x
    x = 144,831,061.39/13,654.60
  6. Step 6: Final answer
    x = 10,606.76

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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.