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Finding the Fourth Proportional to 17,605.63, 24,297.81 and 10,053.05

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Solution

The fourth proportional to 17,605.63, 24,297.81 and 10,053.05 is: 13,874.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,605.63 : 24,297.81 = 10,053.05 : x
  2. Step 2: Convert to fraction form
    17,605.63/24,297.81 = 10,053.05/x
  3. Step 3: Cross multiply
    17,605.63x = 24,297.81 × 10,053.05
  4. Step 4: Simplify right side
    17,605.63x = 244,267,048.56
  5. Step 5: Solve for x
    x = 244,267,048.56/17,605.63
  6. Step 6: Final answer
    x = 13,874.38

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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.