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Finding the Fourth Proportional to 26,597.51, 39,893.16 and 6,874.52

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Solution

The fourth proportional to 26,597.51, 39,893.16 and 6,874.52 is: 10,310.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,597.51 : 39,893.16 = 6,874.52 : x
  2. Step 2: Convert to fraction form
    26,597.51/39,893.16 = 6,874.52/x
  3. Step 3: Cross multiply
    26,597.51x = 39,893.16 × 6,874.52
  4. Step 4: Simplify right side
    26,597.51x = 274,246,326.28
  5. Step 5: Solve for x
    x = 274,246,326.28/26,597.51
  6. Step 6: Final answer
    x = 10,310.98

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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.