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Finding the Fourth Proportional to 16,584.22, 24,869.58 and 8,261.20

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Solution

The fourth proportional to 16,584.22, 24,869.58 and 8,261.20 is: 12,388.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,584.22 : 24,869.58 = 8,261.20 : x
  2. Step 2: Convert to fraction form
    16,584.22/24,869.58 = 8,261.20/x
  3. Step 3: Cross multiply
    16,584.22x = 24,869.58 × 8,261.20
  4. Step 4: Simplify right side
    16,584.22x = 205,452,574.30
  5. Step 5: Solve for x
    x = 205,452,574.30/16,584.22
  6. Step 6: Final answer
    x = 12,388.44

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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.