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Finding the Fourth Proportional to 21,843, 30,142.80 and 12,410.28

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Solution

The fourth proportional to 21,843, 30,142.80 and 12,410.28 is: 17,125.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,843 : 30,142.80 = 12,410.28 : x
  2. Step 2: Convert to fraction form
    21,843/30,142.80 = 12,410.28/x
  3. Step 3: Cross multiply
    21,843x = 30,142.80 × 12,410.28
  4. Step 4: Simplify right side
    21,843x = 374,080,587.98
  5. Step 5: Solve for x
    x = 374,080,587.98/21,843
  6. Step 6: Final answer
    x = 17,125.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.