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Finding the Fourth Proportional to 21,858, 30,164.04 and 12,427.20

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Solution

The fourth proportional to 21,858, 30,164.04 and 12,427.20 is: 17,149.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,858 : 30,164.04 = 12,427.20 : x
  2. Step 2: Convert to fraction form
    21,858/30,164.04 = 12,427.20/x
  3. Step 3: Cross multiply
    21,858x = 30,164.04 × 12,427.20
  4. Step 4: Simplify right side
    21,858x = 374,854,557.89
  5. Step 5: Solve for x
    x = 374,854,557.89/21,858
  6. Step 6: Final answer
    x = 17,149.54

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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.