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Finding the Fourth Proportional to 26,051.95, 39,074.28 and 8,519.50

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Solution

The fourth proportional to 26,051.95, 39,074.28 and 8,519.50 is: 12,778.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,051.95 : 39,074.28 = 8,519.50 : x
  2. Step 2: Convert to fraction form
    26,051.95/39,074.28 = 8,519.50/x
  3. Step 3: Cross multiply
    26,051.95x = 39,074.28 × 8,519.50
  4. Step 4: Simplify right side
    26,051.95x = 332,893,328.46
  5. Step 5: Solve for x
    x = 332,893,328.46/26,051.95
  6. Step 6: Final answer
    x = 12,778.06

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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.