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Finding the Fourth Proportional to 13,685.18, 18,888.39 and 8,022.94

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Solution

The fourth proportional to 13,685.18, 18,888.39 and 8,022.94 is: 11,073.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,685.18 : 18,888.39 = 8,022.94 : x
  2. Step 2: Convert to fraction form
    13,685.18/18,888.39 = 8,022.94/x
  3. Step 3: Cross multiply
    13,685.18x = 18,888.39 × 8,022.94
  4. Step 4: Simplify right side
    13,685.18x = 151,540,372.45
  5. Step 5: Solve for x
    x = 151,540,372.45/13,685.18
  6. Step 6: Final answer
    x = 11,073.32

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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.