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Finding the Fourth Proportional to 13,654.24, 18,842.20 and 7,685.76

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Solution

The fourth proportional to 13,654.24, 18,842.20 and 7,685.76 is: 10,605.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,654.24 : 18,842.20 = 7,685.76 : x
  2. Step 2: Convert to fraction form
    13,654.24/18,842.20 = 7,685.76/x
  3. Step 3: Cross multiply
    13,654.24x = 18,842.20 × 7,685.76
  4. Step 4: Simplify right side
    13,654.24x = 144,816,627.07
  5. Step 5: Solve for x
    x = 144,816,627.07/13,654.24
  6. Step 6: Final answer
    x = 10,605.98

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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.