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Finding the Fourth Proportional to 17,830.60, 26,745.98 and 6,734.32

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Solution

The fourth proportional to 17,830.60, 26,745.98 and 6,734.32 is: 10,101.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,830.60 : 26,745.98 = 6,734.32 : x
  2. Step 2: Convert to fraction form
    17,830.60/26,745.98 = 6,734.32/x
  3. Step 3: Cross multiply
    17,830.60x = 26,745.98 × 6,734.32
  4. Step 4: Simplify right side
    17,830.60x = 180,115,988.03
  5. Step 5: Solve for x
    x = 180,115,988.03/17,830.60
  6. Step 6: Final answer
    x = 10,101.51

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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.