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Finding the Fourth Proportional to 22,459.68, 33,684.84 and 6,664.86

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Solution

The fourth proportional to 22,459.68, 33,684.84 and 6,664.86 is: 9,995.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,459.68 : 33,684.84 = 6,664.86 : x
  2. Step 2: Convert to fraction form
    22,459.68/33,684.84 = 6,664.86/x
  3. Step 3: Cross multiply
    22,459.68x = 33,684.84 × 6,664.86
  4. Step 4: Simplify right side
    22,459.68x = 224,504,742.72
  5. Step 5: Solve for x
    x = 224,504,742.72/22,459.68
  6. Step 6: Final answer
    x = 9,995.90

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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.