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Finding the Fourth Proportional to 16,821.60, 25,232.40 and 9,794.40

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Solution

The fourth proportional to 16,821.60, 25,232.40 and 9,794.40 is: 14,691.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,821.60 : 25,232.40 = 9,794.40 : x
  2. Step 2: Convert to fraction form
    16,821.60/25,232.40 = 9,794.40/x
  3. Step 3: Cross multiply
    16,821.60x = 25,232.40 × 9,794.40
  4. Step 4: Simplify right side
    16,821.60x = 247,136,218.56
  5. Step 5: Solve for x
    x = 247,136,218.56/16,821.60
  6. Step 6: Final answer
    x = 14,691.60

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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.