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Finding the Fourth Proportional to 13,606.81, 18,778.08 and 7,638.64

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Solution

The fourth proportional to 13,606.81, 18,778.08 and 7,638.64 is: 10,541.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,606.81 : 18,778.08 = 7,638.64 : x
  2. Step 2: Convert to fraction form
    13,606.81/18,778.08 = 7,638.64/x
  3. Step 3: Cross multiply
    13,606.81x = 18,778.08 × 7,638.64
  4. Step 4: Simplify right side
    13,606.81x = 143,438,993.01
  5. Step 5: Solve for x
    x = 143,438,993.01/13,606.81
  6. Step 6: Final answer
    x = 10,541.71

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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.