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Finding the Fourth Proportional to 13,683.52, 18,885.09 and 8,020.51

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Solution

The fourth proportional to 13,683.52, 18,885.09 and 8,020.51 is: 11,069.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,683.52 : 18,885.09 = 8,020.51 : x
  2. Step 2: Convert to fraction form
    13,683.52/18,885.09 = 8,020.51/x
  3. Step 3: Cross multiply
    13,683.52x = 18,885.09 × 8,020.51
  4. Step 4: Simplify right side
    13,683.52x = 151,468,053.20
  5. Step 5: Solve for x
    x = 151,468,053.20/13,683.52
  6. Step 6: Final answer
    x = 11,069.38

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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.