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Finding the Fourth Proportional to 12,536.73, 18,806.73 and 4,213.17

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Solution

The fourth proportional to 12,536.73, 18,806.73 and 4,213.17 is: 6,320.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,536.73 : 18,806.73 = 4,213.17 : x
  2. Step 2: Convert to fraction form
    12,536.73/18,806.73 = 4,213.17/x
  3. Step 3: Cross multiply
    12,536.73x = 18,806.73 × 4,213.17
  4. Step 4: Simplify right side
    12,536.73x = 79,235,950.63
  5. Step 5: Solve for x
    x = 79,235,950.63/12,536.73
  6. Step 6: Final answer
    x = 6,320.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.