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Finding the Fourth Proportional to 18,034.26, 24,885.66 and 10,075.38

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Solution

The fourth proportional to 18,034.26, 24,885.66 and 10,075.38 is: 13,903.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,034.26 : 24,885.66 = 10,075.38 : x
  2. Step 2: Convert to fraction form
    18,034.26/24,885.66 = 10,075.38/x
  3. Step 3: Cross multiply
    18,034.26x = 24,885.66 × 10,075.38
  4. Step 4: Simplify right side
    18,034.26x = 250,732,481.05
  5. Step 5: Solve for x
    x = 250,732,481.05/18,034.26
  6. Step 6: Final answer
    x = 13,903.12

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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.