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Finding the Fourth Proportional to 21,930.57, 30,274.20 and 12,854.70

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Solution

The fourth proportional to 21,930.57, 30,274.20 and 12,854.70 is: 17,745.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,930.57 : 30,274.20 = 12,854.70 : x
  2. Step 2: Convert to fraction form
    21,930.57/30,274.20 = 12,854.70/x
  3. Step 3: Cross multiply
    21,930.57x = 30,274.20 × 12,854.70
  4. Step 4: Simplify right side
    21,930.57x = 389,165,758.74
  5. Step 5: Solve for x
    x = 389,165,758.74/21,930.57
  6. Step 6: Final answer
    x = 17,745.36

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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.