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Finding the Fourth Proportional to 21,852.75, 30,156.81 and 12,421.92

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Solution

The fourth proportional to 21,852.75, 30,156.81 and 12,421.92 is: 17,142.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,852.75 : 30,156.81 = 12,421.92 : x
  2. Step 2: Convert to fraction form
    21,852.75/30,156.81 = 12,421.92/x
  3. Step 3: Cross multiply
    21,852.75x = 30,156.81 × 12,421.92
  4. Step 4: Simplify right side
    21,852.75x = 374,605,481.28
  5. Step 5: Solve for x
    x = 374,605,481.28/21,852.75
  6. Step 6: Final answer
    x = 17,142.26

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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.