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Finding the Fourth Proportional to 13,656.27, 18,845.13 and 7,688.49

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Solution

The fourth proportional to 13,656.27, 18,845.13 and 7,688.49 is: 10,609.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,656.27 : 18,845.13 = 7,688.49 : x
  2. Step 2: Convert to fraction form
    13,656.27/18,845.13 = 7,688.49/x
  3. Step 3: Cross multiply
    13,656.27x = 18,845.13 × 7,688.49
  4. Step 4: Simplify right side
    13,656.27x = 144,890,593.55
  5. Step 5: Solve for x
    x = 144,890,593.55/13,656.27
  6. Step 6: Final answer
    x = 10,609.82

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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.