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Finding the Fourth Proportional to 13,722.64, 18,944.31 and 8,692.12

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Solution

The fourth proportional to 13,722.64, 18,944.31 and 8,692.12 is: 11,999.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,722.64 : 18,944.31 = 8,692.12 : x
  2. Step 2: Convert to fraction form
    13,722.64/18,944.31 = 8,692.12/x
  3. Step 3: Cross multiply
    13,722.64x = 18,944.31 × 8,692.12
  4. Step 4: Simplify right side
    13,722.64x = 164,666,215.84
  5. Step 5: Solve for x
    x = 164,666,215.84/13,722.64
  6. Step 6: Final answer
    x = 11,999.60

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1.5x scale

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.