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Finding the Fourth Proportional to 21,356.80, 32,035.20 and 8,209.60

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Solution

The fourth proportional to 21,356.80, 32,035.20 and 8,209.60 is: 12,314.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,356.80 : 32,035.20 = 8,209.60 : x
  2. Step 2: Convert to fraction form
    21,356.80/32,035.20 = 8,209.60/x
  3. Step 3: Cross multiply
    21,356.80x = 32,035.20 × 8,209.60
  4. Step 4: Simplify right side
    21,356.80x = 262,996,177.92
  5. Step 5: Solve for x
    x = 262,996,177.92/21,356.80
  6. Step 6: Final answer
    x = 12,314.40

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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.