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Finding the Fourth Proportional to 24,776.53, 34,192.20 and 13,446.49

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Solution

The fourth proportional to 24,776.53, 34,192.20 and 13,446.49 is: 18,556.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,776.53 : 34,192.20 = 13,446.49 : x
  2. Step 2: Convert to fraction form
    24,776.53/34,192.20 = 13,446.49/x
  3. Step 3: Cross multiply
    24,776.53x = 34,192.20 × 13,446.49
  4. Step 4: Simplify right side
    24,776.53x = 459,765,075.38
  5. Step 5: Solve for x
    x = 459,765,075.38/24,776.53
  6. Step 6: Final answer
    x = 18,556.48

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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.