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Finding the Fourth Proportional to 13,706.20, 18,663.76 and 13,706.20

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Solution

The fourth proportional to 13,706.20, 18,663.76 and 13,706.20 is: 18,663.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,706.20 : 18,663.76 = 13,706.20 : x
  2. Step 2: Convert to fraction form
    13,706.20/18,663.76 = 13,706.20/x
  3. Step 3: Cross multiply
    13,706.20x = 18,663.76 × 13,706.20
  4. Step 4: Simplify right side
    13,706.20x = 255,809,227.31
  5. Step 5: Solve for x
    x = 255,809,227.31/13,706.20
  6. Step 6: Final answer
    x = 18,663.76

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.