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Finding the Fourth Proportional to 14,862.49, 20,506.87 and 10,083.09

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Solution

The fourth proportional to 14,862.49, 20,506.87 and 10,083.09 is: 13,912.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,862.49 : 20,506.87 = 10,083.09 : x
  2. Step 2: Convert to fraction form
    14,862.49/20,506.87 = 10,083.09/x
  3. Step 3: Cross multiply
    14,862.49x = 20,506.87 × 10,083.09
  4. Step 4: Simplify right side
    14,862.49x = 206,772,615.83
  5. Step 5: Solve for x
    x = 206,772,615.83/14,862.49
  6. Step 6: Final answer
    x = 13,912.38

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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.