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Finding the Fourth Proportional to 23,932, 33,026.16 and 13,996

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Solution

The fourth proportional to 23,932, 33,026.16 and 13,996 is: 19,314.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,932 : 33,026.16 = 13,996 : x
  2. Step 2: Convert to fraction form
    23,932/33,026.16 = 13,996/x
  3. Step 3: Cross multiply
    23,932x = 33,026.16 × 13,996
  4. Step 4: Simplify right side
    23,932x = 462,234,135.36
  5. Step 5: Solve for x
    x = 462,234,135.36/23,932
  6. Step 6: Final answer
    x = 19,314.48

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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.