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Finding the Fourth Proportional to 26,284, 39,414.12 and 7,559.74

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Solution

The fourth proportional to 26,284, 39,414.12 and 7,559.74 is: 11,336.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,284 : 39,414.12 = 7,559.74 : x
  2. Step 2: Convert to fraction form
    26,284/39,414.12 = 7,559.74/x
  3. Step 3: Cross multiply
    26,284x = 39,414.12 × 7,559.74
  4. Step 4: Simplify right side
    26,284x = 297,960,499.53
  5. Step 5: Solve for x
    x = 297,960,499.53/26,284
  6. Step 6: Final answer
    x = 11,336.19

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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.