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Finding the Fourth Proportional to 21,851.33, 30,157.40 and 12,421.31

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Solution

The fourth proportional to 21,851.33, 30,157.40 and 12,421.31 is: 17,142.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,851.33 : 30,157.40 = 12,421.31 : x
  2. Step 2: Convert to fraction form
    21,851.33/30,157.40 = 12,421.31/x
  3. Step 3: Cross multiply
    21,851.33x = 30,157.40 × 12,421.31
  4. Step 4: Simplify right side
    21,851.33x = 374,594,414.19
  5. Step 5: Solve for x
    x = 374,594,414.19/21,851.33
  6. Step 6: Final answer
    x = 17,142.87

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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.