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Finding the Fourth Proportional to 20,974.76, 28,945.29 and 11,414.72

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Solution

The fourth proportional to 20,974.76, 28,945.29 and 11,414.72 is: 15,752.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,974.76 : 28,945.29 = 11,414.72 : x
  2. Step 2: Convert to fraction form
    20,974.76/28,945.29 = 11,414.72/x
  3. Step 3: Cross multiply
    20,974.76x = 28,945.29 × 11,414.72
  4. Step 4: Simplify right side
    20,974.76x = 330,402,235.94
  5. Step 5: Solve for x
    x = 330,402,235.94/20,974.76
  6. Step 6: Final answer
    x = 15,752.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.