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Finding the Fourth Proportional to 13,686.38, 18,885.80 and 10,103.24

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Solution

The fourth proportional to 13,686.38, 18,885.80 and 10,103.24 is: 13,941.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,686.38 : 18,885.80 = 10,103.24 : x
  2. Step 2: Convert to fraction form
    13,686.38/18,885.80 = 10,103.24/x
  3. Step 3: Cross multiply
    13,686.38x = 18,885.80 × 10,103.24
  4. Step 4: Simplify right side
    13,686.38x = 190,807,769.99
  5. Step 5: Solve for x
    x = 190,807,769.99/13,686.38
  6. Step 6: Final answer
    x = 13,941.43

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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.