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Finding the Fourth Proportional to 20,774.82, 28,665.87 and 12,275.76

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Solution

The fourth proportional to 20,774.82, 28,665.87 and 12,275.76 is: 16,938.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,774.82 : 28,665.87 = 12,275.76 : x
  2. Step 2: Convert to fraction form
    20,774.82/28,665.87 = 12,275.76/x
  3. Step 3: Cross multiply
    20,774.82x = 28,665.87 × 12,275.76
  4. Step 4: Simplify right side
    20,774.82x = 351,895,340.31
  5. Step 5: Solve for x
    x = 351,895,340.31/20,774.82
  6. Step 6: Final answer
    x = 16,938.55

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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.