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Finding the Fourth Proportional to 17,627, 24,324.82 and 10,072.85

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Solution

The fourth proportional to 17,627, 24,324.82 and 10,072.85 is: 13,900.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,627 : 24,324.82 = 10,072.85 : x
  2. Step 2: Convert to fraction form
    17,627/24,324.82 = 10,072.85/x
  3. Step 3: Cross multiply
    17,627x = 24,324.82 × 10,072.85
  4. Step 4: Simplify right side
    17,627x = 245,020,263.14
  5. Step 5: Solve for x
    x = 245,020,263.14/17,627
  6. Step 6: Final answer
    x = 13,900.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.