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Finding the Fourth Proportional to 23,710, 35,577.96 and 11,398

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Solution

The fourth proportional to 23,710, 35,577.96 and 11,398 is: 17,103.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,710 : 35,577.96 = 11,398 : x
  2. Step 2: Convert to fraction form
    23,710/35,577.96 = 11,398/x
  3. Step 3: Cross multiply
    23,710x = 35,577.96 × 11,398
  4. Step 4: Simplify right side
    23,710x = 405,517,588.08
  5. Step 5: Solve for x
    x = 405,517,588.08/23,710
  6. Step 6: Final answer
    x = 17,103.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.