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Finding the Fourth Proportional to 26,578.55, 36,678.38 and 14,641.88

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Solution

The fourth proportional to 26,578.55, 36,678.38 and 14,641.88 is: 20,205.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,578.55 : 36,678.38 = 14,641.88 : x
  2. Step 2: Convert to fraction form
    26,578.55/36,678.38 = 14,641.88/x
  3. Step 3: Cross multiply
    26,578.55x = 36,678.38 × 14,641.88
  4. Step 4: Simplify right side
    26,578.55x = 537,040,181.95
  5. Step 5: Solve for x
    x = 537,040,181.95/26,578.55
  6. Step 6: Final answer
    x = 20,205.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.