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Finding the Fourth Proportional to 21,550.86, 29,738.34 and 12,597.32

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Solution

The fourth proportional to 21,550.86, 29,738.34 and 12,597.32 is: 17,383.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,550.86 : 29,738.34 = 12,597.32 : x
  2. Step 2: Convert to fraction form
    21,550.86/29,738.34 = 12,597.32/x
  3. Step 3: Cross multiply
    21,550.86x = 29,738.34 × 12,597.32
  4. Step 4: Simplify right side
    21,550.86x = 374,623,459.59
  5. Step 5: Solve for x
    x = 374,623,459.59/21,550.86
  6. Step 6: Final answer
    x = 17,383.23

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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.