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Finding the Fourth Proportional to 13,682.70, 18,209.70 and 13,682.70

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Solution

The fourth proportional to 13,682.70, 18,209.70 and 13,682.70 is: 18,209.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,682.70 : 18,209.70 = 13,682.70 : x
  2. Step 2: Convert to fraction form
    13,682.70/18,209.70 = 13,682.70/x
  3. Step 3: Cross multiply
    13,682.70x = 18,209.70 × 13,682.70
  4. Step 4: Simplify right side
    13,682.70x = 249,157,862.19
  5. Step 5: Solve for x
    x = 249,157,862.19/13,682.70
  6. Step 6: Final answer
    x = 18,209.70

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.