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Finding the Fourth Proportional to 17,784.68, 26,684.76 and 8,431.25

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Solution

The fourth proportional to 17,784.68, 26,684.76 and 8,431.25 is: 12,650.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,784.68 : 26,684.76 = 8,431.25 : x
  2. Step 2: Convert to fraction form
    17,784.68/26,684.76 = 8,431.25/x
  3. Step 3: Cross multiply
    17,784.68x = 26,684.76 × 8,431.25
  4. Step 4: Simplify right side
    17,784.68x = 224,985,882.75
  5. Step 5: Solve for x
    x = 224,985,882.75/17,784.68
  6. Step 6: Final answer
    x = 12,650.54

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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.