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Finding the Fourth Proportional to 13,677.81, 18,880.07 and 8,014.38

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Solution

The fourth proportional to 13,677.81, 18,880.07 and 8,014.38 is: 11,062.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,677.81 : 18,880.07 = 8,014.38 : x
  2. Step 2: Convert to fraction form
    13,677.81/18,880.07 = 8,014.38/x
  3. Step 3: Cross multiply
    13,677.81x = 18,880.07 × 8,014.38
  4. Step 4: Simplify right side
    13,677.81x = 151,312,015.33
  5. Step 5: Solve for x
    x = 151,312,015.33/13,677.81
  6. Step 6: Final answer
    x = 11,062.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.