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Finding the Fourth Proportional to 13,688.54, 18,892.09 and 7,720.76

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Solution

The fourth proportional to 13,688.54, 18,892.09 and 7,720.76 is: 10,655.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,688.54 : 18,892.09 = 7,720.76 : x
  2. Step 2: Convert to fraction form
    13,688.54/18,892.09 = 7,720.76/x
  3. Step 3: Cross multiply
    13,688.54x = 18,892.09 × 7,720.76
  4. Step 4: Simplify right side
    13,688.54x = 145,861,198.33
  5. Step 5: Solve for x
    x = 145,861,198.33/13,688.54
  6. Step 6: Final answer
    x = 10,655.72

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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.