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Finding the Fourth Proportional to 21,265, 31,886.77 and 12,383.20

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Solution

The fourth proportional to 21,265, 31,886.77 and 12,383.20 is: 18,568.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,265 : 31,886.77 = 12,383.20 : x
  2. Step 2: Convert to fraction form
    21,265/31,886.77 = 12,383.20/x
  3. Step 3: Cross multiply
    21,265x = 31,886.77 × 12,383.20
  4. Step 4: Simplify right side
    21,265x = 394,860,250.26
  5. Step 5: Solve for x
    x = 394,860,250.26/21,265
  6. Step 6: Final answer
    x = 18,568.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.