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Finding the Fourth Proportional to 17,101.38, 23,593.41 and 10,384.47

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Solution

The fourth proportional to 17,101.38, 23,593.41 and 10,384.47 is: 14,326.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,101.38 : 23,593.41 = 10,384.47 : x
  2. Step 2: Convert to fraction form
    17,101.38/23,593.41 = 10,384.47/x
  3. Step 3: Cross multiply
    17,101.38x = 23,593.41 × 10,384.47
  4. Step 4: Simplify right side
    17,101.38x = 245,005,058.34
  5. Step 5: Solve for x
    x = 245,005,058.34/17,101.38
  6. Step 6: Final answer
    x = 14,326.63

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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.