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Finding the Fourth Proportional to 16,205.22, 24,272.58 and 7,867.68

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Solution

The fourth proportional to 16,205.22, 24,272.58 and 7,867.68 is: 11,784.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,205.22 : 24,272.58 = 7,867.68 : x
  2. Step 2: Convert to fraction form
    16,205.22/24,272.58 = 7,867.68/x
  3. Step 3: Cross multiply
    16,205.22x = 24,272.58 × 7,867.68
  4. Step 4: Simplify right side
    16,205.22x = 190,968,892.21
  5. Step 5: Solve for x
    x = 190,968,892.21/16,205.22
  6. Step 6: Final answer
    x = 11,784.41

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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.