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Finding the Fourth Proportional to 20,012.80, 29,983.20 and 9,601.60

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Solution

The fourth proportional to 20,012.80, 29,983.20 and 9,601.60 is: 14,385.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,012.80 : 29,983.20 = 9,601.60 : x
  2. Step 2: Convert to fraction form
    20,012.80/29,983.20 = 9,601.60/x
  3. Step 3: Cross multiply
    20,012.80x = 29,983.20 × 9,601.60
  4. Step 4: Simplify right side
    20,012.80x = 287,886,693.12
  5. Step 5: Solve for x
    x = 287,886,693.12/20,012.80
  6. Step 6: Final answer
    x = 14,385.13

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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.