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Finding the Fourth Proportional to 17,830.26, 26,729.49 and 8,464.50

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Solution

The fourth proportional to 17,830.26, 26,729.49 and 8,464.50 is: 12,689.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,830.26 : 26,729.49 = 8,464.50 : x
  2. Step 2: Convert to fraction form
    17,830.26/26,729.49 = 8,464.50/x
  3. Step 3: Cross multiply
    17,830.26x = 26,729.49 × 8,464.50
  4. Step 4: Simplify right side
    17,830.26x = 226,251,768.11
  5. Step 5: Solve for x
    x = 226,251,768.11/17,830.26
  6. Step 6: Final answer
    x = 12,689.20

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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.