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Finding the Fourth Proportional to 21,356.80, 32,035.20 and 9,692.80

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Solution

The fourth proportional to 21,356.80, 32,035.20 and 9,692.80 is: 14,539.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,356.80 : 32,035.20 = 9,692.80 : x
  2. Step 2: Convert to fraction form
    21,356.80/32,035.20 = 9,692.80/x
  3. Step 3: Cross multiply
    21,356.80x = 32,035.20 × 9,692.80
  4. Step 4: Simplify right side
    21,356.80x = 310,510,786.56
  5. Step 5: Solve for x
    x = 310,510,786.56/21,356.80
  6. Step 6: Final answer
    x = 14,539.20

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1.5x scale

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.