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Finding the Fourth Proportional to 13,783.50, 20,692.05 and 9,107.52

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Solution

The fourth proportional to 13,783.50, 20,692.05 and 9,107.52 is: 13,672.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,783.50 : 20,692.05 = 9,107.52 : x
  2. Step 2: Convert to fraction form
    13,783.50/20,692.05 = 9,107.52/x
  3. Step 3: Cross multiply
    13,783.50x = 20,692.05 × 9,107.52
  4. Step 4: Simplify right side
    13,783.50x = 188,453,259.22
  5. Step 5: Solve for x
    x = 188,453,259.22/13,783.50
  6. Step 6: Final answer
    x = 13,672.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.