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Finding the Fourth Proportional to 14,793, 20,415.15 and 8,505.78

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Solution

The fourth proportional to 14,793, 20,415.15 and 8,505.78 is: 11,738.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,793 : 20,415.15 = 8,505.78 : x
  2. Step 2: Convert to fraction form
    14,793/20,415.15 = 8,505.78/x
  3. Step 3: Cross multiply
    14,793x = 20,415.15 × 8,505.78
  4. Step 4: Simplify right side
    14,793x = 173,646,774.57
  5. Step 5: Solve for x
    x = 173,646,774.57/14,793
  6. Step 6: Final answer
    x = 11,738.44

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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.