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Finding the Fourth Proportional to 13,688.67, 18,889.22 and 7,721.81

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Solution

The fourth proportional to 13,688.67, 18,889.22 and 7,721.81 is: 10,655.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,688.67 : 18,889.22 = 7,721.81 : x
  2. Step 2: Convert to fraction form
    13,688.67/18,889.22 = 7,721.81/x
  3. Step 3: Cross multiply
    13,688.67x = 18,889.22 × 7,721.81
  4. Step 4: Simplify right side
    13,688.67x = 145,858,892.75
  5. Step 5: Solve for x
    x = 145,858,892.75/13,688.67
  6. Step 6: Final answer
    x = 10,655.45

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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.