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Finding the Fourth Proportional to 15,057.69, 20,787.48 and 11,692.95

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Solution

The fourth proportional to 15,057.69, 20,787.48 and 11,692.95 is: 16,142.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,057.69 : 20,787.48 = 11,692.95 : x
  2. Step 2: Convert to fraction form
    15,057.69/20,787.48 = 11,692.95/x
  3. Step 3: Cross multiply
    15,057.69x = 20,787.48 × 11,692.95
  4. Step 4: Simplify right side
    15,057.69x = 243,066,964.27
  5. Step 5: Solve for x
    x = 243,066,964.27/15,057.69
  6. Step 6: Final answer
    x = 16,142.38

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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.