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Finding the Fourth Proportional to 21,546, 29,733.84 and 14,094

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Solution

The fourth proportional to 21,546, 29,733.84 and 14,094 is: 19,449.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,546 : 29,733.84 = 14,094 : x
  2. Step 2: Convert to fraction form
    21,546/29,733.84 = 14,094/x
  3. Step 3: Cross multiply
    21,546x = 29,733.84 × 14,094
  4. Step 4: Simplify right side
    21,546x = 419,068,740.96
  5. Step 5: Solve for x
    x = 419,068,740.96/21,546
  6. Step 6: Final answer
    x = 19,449.96

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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.