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Finding the Fourth Proportional to 26,298.50, 39,467.19 and 12,447.50

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Solution

The fourth proportional to 26,298.50, 39,467.19 and 12,447.50 is: 18,680.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,298.50 : 39,467.19 = 12,447.50 : x
  2. Step 2: Convert to fraction form
    26,298.50/39,467.19 = 12,447.50/x
  3. Step 3: Cross multiply
    26,298.50x = 39,467.19 × 12,447.50
  4. Step 4: Simplify right side
    26,298.50x = 491,267,847.53
  5. Step 5: Solve for x
    x = 491,267,847.53/26,298.50
  6. Step 6: Final answer
    x = 18,680.45

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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.