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Finding the Fourth Proportional to 21,534, 29,716.38 and 11,973.92

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Solution

The fourth proportional to 21,534, 29,716.38 and 11,973.92 is: 16,523.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,534 : 29,716.38 = 11,973.92 : x
  2. Step 2: Convert to fraction form
    21,534/29,716.38 = 11,973.92/x
  3. Step 3: Cross multiply
    21,534x = 29,716.38 × 11,973.92
  4. Step 4: Simplify right side
    21,534x = 355,821,408.23
  5. Step 5: Solve for x
    x = 355,821,408.23/21,534
  6. Step 6: Final answer
    x = 16,523.70

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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.