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Finding the Fourth Proportional to 17,830.25, 26,729.51 and 8,464.49

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Solution

The fourth proportional to 17,830.25, 26,729.51 and 8,464.49 is: 12,689.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,830.25 : 26,729.51 = 8,464.49 : x
  2. Step 2: Convert to fraction form
    17,830.25/26,729.51 = 8,464.49/x
  3. Step 3: Cross multiply
    17,830.25x = 26,729.51 × 8,464.49
  4. Step 4: Simplify right side
    17,830.25x = 226,251,494.13
  5. Step 5: Solve for x
    x = 226,251,494.13/17,830.25
  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.